What is the Least Common Multiple of 64725 and 64730?

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 64725 and 64730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64725 and 64730, than apply into the LCM equation.

GCF(64725,64730) = 5
LCM(64725,64730) = ( 64725 × 64730) / 5
LCM(64725,64730) = 4189649250 / 5
LCM(64725,64730) = 837929850

Least Common Multiple (LCM) of 64725 and 64730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64725 and 64730. First we will calculate the prime factors of 64725 and 64730.

Prime Factorization of 64725

Prime Factorization of 64730

Now multiplying the highest exponent prime factors to calculate the LCM of 64725 and 64730.

LCM(64725,64730) = 3¹ × 5² × 863¹ × 2¹ × 6473¹
LCM(64725,64730) = 837929850