What is the Least Common Multiple of 60956 and 60971?

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 60956 and 60971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60956 and 60971, than apply into the LCM equation.

GCF(60956,60971) = 1
LCM(60956,60971) = ( 60956 × 60971) / 1
LCM(60956,60971) = 3716548276 / 1
LCM(60956,60971) = 3716548276

Least Common Multiple (LCM) of 60956 and 60971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60956 and 60971. First we will calculate the prime factors of 60956 and 60971.

Prime Factorization of 60956

Prime Factorization of 60971

Now multiplying the highest exponent prime factors to calculate the LCM of 60956 and 60971.

LCM(60956,60971) = 2² × 7² × 311¹ × 19¹ × 3209¹
LCM(60956,60971) = 3716548276