What is the Least Common Multiple of 56580 and 56590?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 56580 and 56590 is 320186220.
LCM(56580,56590) = 320186220
Least Common Multiple of 56580 and 56590 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56580 and 56590, than apply into the LCM equation.
GCF(56580,56590) = 10
LCM(56580,56590) = ( 56580 × 56590) / 10
LCM(56580,56590) = 3201862200 / 10
LCM(56580,56590) = 320186220
Least Common Multiple (LCM) of 56580 and 56590 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56580 and 56590. First we will calculate the prime factors of 56580 and 56590.
Prime Factorization of 56580
Prime factors of 56580 are 2, 3, 5, 23, 41. Prime factorization of 56580 in exponential form is:
56580 = 22 × 31 × 51 × 231 × 411
Prime Factorization of 56590
Prime factors of 56590 are 2, 5, 5659. Prime factorization of 56590 in exponential form is:
56590 = 21 × 51 × 56591
Now multiplying the highest exponent prime factors to calculate the LCM of 56580 and 56590.
LCM(56580,56590) = 22 × 31 × 51 × 231 × 411 × 56591
LCM(56580,56590) = 320186220
Related Least Common Multiples of 56580
- LCM of 56580 and 56584
- LCM of 56580 and 56585
- LCM of 56580 and 56586
- LCM of 56580 and 56587
- LCM of 56580 and 56588
- LCM of 56580 and 56589
- LCM of 56580 and 56590
- LCM of 56580 and 56591
- LCM of 56580 and 56592
- LCM of 56580 and 56593
- LCM of 56580 and 56594
- LCM of 56580 and 56595
- LCM of 56580 and 56596
- LCM of 56580 and 56597
- LCM of 56580 and 56598
- LCM of 56580 and 56599
- LCM of 56580 and 56600
Related Least Common Multiples of 56590
- LCM of 56590 and 56594
- LCM of 56590 and 56595
- LCM of 56590 and 56596
- LCM of 56590 and 56597
- LCM of 56590 and 56598
- LCM of 56590 and 56599
- LCM of 56590 and 56600
- LCM of 56590 and 56601
- LCM of 56590 and 56602
- LCM of 56590 and 56603
- LCM of 56590 and 56604
- LCM of 56590 and 56605
- LCM of 56590 and 56606
- LCM of 56590 and 56607
- LCM of 56590 and 56608
- LCM of 56590 and 56609
- LCM of 56590 and 56610