What is the Least Common Multiple of 56563 and 56576?
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 56563 and 56576 is 246162176.
LCM(56563,56576) = 246162176
Least Common Multiple of 56563 and 56576 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56563 and 56576, than apply into the LCM equation.
GCF(56563,56576) = 13
LCM(56563,56576) = ( 56563 × 56576) / 13
LCM(56563,56576) = 3200108288 / 13
LCM(56563,56576) = 246162176
Least Common Multiple (LCM) of 56563 and 56576 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56563 and 56576. First we will calculate the prime factors of 56563 and 56576.
Prime Factorization of 56563
Prime factors of 56563 are 13, 19, 229. Prime factorization of 56563 in exponential form is:
56563 = 131 × 191 × 2291
Prime Factorization of 56576
Prime factors of 56576 are 2, 13, 17. Prime factorization of 56576 in exponential form is:
56576 = 28 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 56563 and 56576.
LCM(56563,56576) = 131 × 191 × 2291 × 28 × 171
LCM(56563,56576) = 246162176
Related Least Common Multiples of 56563
- LCM of 56563 and 56567
- LCM of 56563 and 56568
- LCM of 56563 and 56569
- LCM of 56563 and 56570
- LCM of 56563 and 56571
- LCM of 56563 and 56572
- LCM of 56563 and 56573
- LCM of 56563 and 56574
- LCM of 56563 and 56575
- LCM of 56563 and 56576
- LCM of 56563 and 56577
- LCM of 56563 and 56578
- LCM of 56563 and 56579
- LCM of 56563 and 56580
- LCM of 56563 and 56581
- LCM of 56563 and 56582
- LCM of 56563 and 56583
Related Least Common Multiples of 56576
- LCM of 56576 and 56580
- LCM of 56576 and 56581
- LCM of 56576 and 56582
- LCM of 56576 and 56583
- LCM of 56576 and 56584
- LCM of 56576 and 56585
- LCM of 56576 and 56586
- LCM of 56576 and 56587
- LCM of 56576 and 56588
- LCM of 56576 and 56589
- LCM of 56576 and 56590
- LCM of 56576 and 56591
- LCM of 56576 and 56592
- LCM of 56576 and 56593
- LCM of 56576 and 56594
- LCM of 56576 and 56595
- LCM of 56576 and 56596