What is the Least Common Multiple of 60965 and 60977?

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 60965 and 60977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60965 and 60977, than apply into the LCM equation.

GCF(60965,60977) = 1
LCM(60965,60977) = ( 60965 × 60977) / 1
LCM(60965,60977) = 3717462805 / 1
LCM(60965,60977) = 3717462805

Least Common Multiple (LCM) of 60965 and 60977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60965 and 60977. First we will calculate the prime factors of 60965 and 60977.

Prime Factorization of 60965

Prime Factorization of 60977

Now multiplying the highest exponent prime factors to calculate the LCM of 60965 and 60977.

LCM(60965,60977) = 5¹ × 89¹ × 137¹ × 7¹ × 31¹ × 281¹
LCM(60965,60977) = 3717462805