What is the Least Common Multiple of 64975 and 64995?

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 64975 and 64995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64975 and 64995, than apply into the LCM equation.

GCF(64975,64995) = 5
LCM(64975,64995) = ( 64975 × 64995) / 5
LCM(64975,64995) = 4223050125 / 5
LCM(64975,64995) = 844610025

Least Common Multiple (LCM) of 64975 and 64995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64975 and 64995. First we will calculate the prime factors of 64975 and 64995.

Prime Factorization of 64975

Prime Factorization of 64995

Now multiplying the highest exponent prime factors to calculate the LCM of 64975 and 64995.

LCM(64975,64995) = 5² × 23¹ × 113¹ × 3¹ × 7¹ × 619¹
LCM(64975,64995) = 844610025