What is the Least Common Multiple of 64095 and 64110?

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 64095 and 64110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64095 and 64110, than apply into the LCM equation.

GCF(64095,64110) = 15
LCM(64095,64110) = ( 64095 × 64110) / 15
LCM(64095,64110) = 4109130450 / 15
LCM(64095,64110) = 273942030

Least Common Multiple (LCM) of 64095 and 64110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64095 and 64110. First we will calculate the prime factors of 64095 and 64110.

Prime Factorization of 64095

Prime Factorization of 64110

Now multiplying the highest exponent prime factors to calculate the LCM of 64095 and 64110.

LCM(64095,64110) = 3¹ × 5¹ × 4273¹ × 2¹ × 2137¹
LCM(64095,64110) = 273942030