What is the Least Common Multiple of 64514 and 64525?

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 of 64514 and 64525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64514 and 64525, than apply into the LCM equation.

GCF(64514,64525) = 1
LCM(64514,64525) = ( 64514 × 64525) / 1
LCM(64514,64525) = 4162765850 / 1
LCM(64514,64525) = 4162765850

Least Common Multiple (LCM) of 64514 and 64525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64514 and 64525. First we will calculate the prime factors of 64514 and 64525.

Prime Factorization of 64514

Prime Factorization of 64525

Now multiplying the highest exponent prime factors to calculate the LCM of 64514 and 64525.

LCM(64514,64525) = 2¹ × 32257¹ × 5² × 29¹ × 89¹
LCM(64514,64525) = 4162765850