What is the Least Common Multiple of 65565 and 65570?
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 65565 and 65570 is 859819410.
LCM(65565,65570) = 859819410
Least Common Multiple of 65565 and 65570 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65565 and 65570, than apply into the LCM equation.
GCF(65565,65570) = 5
LCM(65565,65570) = ( 65565 × 65570) / 5
LCM(65565,65570) = 4299097050 / 5
LCM(65565,65570) = 859819410
Least Common Multiple (LCM) of 65565 and 65570 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65565 and 65570. First we will calculate the prime factors of 65565 and 65570.
Prime Factorization of 65565
Prime factors of 65565 are 3, 5, 31, 47. Prime factorization of 65565 in exponential form is:
65565 = 32 × 51 × 311 × 471
Prime Factorization of 65570
Prime factors of 65570 are 2, 5, 79, 83. Prime factorization of 65570 in exponential form is:
65570 = 21 × 51 × 791 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 65565 and 65570.
LCM(65565,65570) = 32 × 51 × 311 × 471 × 21 × 791 × 831
LCM(65565,65570) = 859819410
Related Least Common Multiples of 65565
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Related Least Common Multiples of 65570
- LCM of 65570 and 65574
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- LCM of 65570 and 65583
- LCM of 65570 and 65584
- LCM of 65570 and 65585
- LCM of 65570 and 65586
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