What is the Least Common Multiple of 60952 and 60956?

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 60952 and 60956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60952 and 60956, than apply into the LCM equation.

GCF(60952,60956) = 4
LCM(60952,60956) = ( 60952 × 60956) / 4
LCM(60952,60956) = 3715390112 / 4
LCM(60952,60956) = 928847528

Least Common Multiple (LCM) of 60952 and 60956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60952 and 60956. First we will calculate the prime factors of 60952 and 60956.

Prime Factorization of 60952

Prime Factorization of 60956

Now multiplying the highest exponent prime factors to calculate the LCM of 60952 and 60956.

LCM(60952,60956) = 2³ × 19¹ × 401¹ × 7² × 311¹
LCM(60952,60956) = 928847528