What is the Least Common Multiple of 64734 and 64754?

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 64734 and 64754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64734 and 64754, than apply into the LCM equation.

GCF(64734,64754) = 2
LCM(64734,64754) = ( 64734 × 64754) / 2
LCM(64734,64754) = 4191785436 / 2
LCM(64734,64754) = 2095892718

Least Common Multiple (LCM) of 64734 and 64754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64734 and 64754. First we will calculate the prime factors of 64734 and 64754.

Prime Factorization of 64734

Prime Factorization of 64754

Now multiplying the highest exponent prime factors to calculate the LCM of 64734 and 64754.

LCM(64734,64754) = 2¹ × 3¹ × 10789¹ × 32377¹
LCM(64734,64754) = 2095892718