What is the Least Common Multiple of 68952 and 68965?

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 68952 and 68965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68952 and 68965, than apply into the LCM equation.

GCF(68952,68965) = 13
LCM(68952,68965) = ( 68952 × 68965) / 13
LCM(68952,68965) = 4755274680 / 13
LCM(68952,68965) = 365790360

Least Common Multiple (LCM) of 68952 and 68965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68952 and 68965. First we will calculate the prime factors of 68952 and 68965.

Prime Factorization of 68952

Prime Factorization of 68965

Now multiplying the highest exponent prime factors to calculate the LCM of 68952 and 68965.

LCM(68952,68965) = 2³ × 3¹ × 13² × 17¹ × 5¹ × 1061¹
LCM(68952,68965) = 365790360