What is the Least Common Multiple of 60944 and 60952?

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 60944 and 60952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60944 and 60952, than apply into the LCM equation.

GCF(60944,60952) = 8
LCM(60944,60952) = ( 60944 × 60952) / 8
LCM(60944,60952) = 3714658688 / 8
LCM(60944,60952) = 464332336

Least Common Multiple (LCM) of 60944 and 60952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60944 and 60952. First we will calculate the prime factors of 60944 and 60952.

Prime Factorization of 60944

Prime Factorization of 60952

Now multiplying the highest exponent prime factors to calculate the LCM of 60944 and 60952.

LCM(60944,60952) = 2⁴ × 13¹ × 293¹ × 19¹ × 401¹
LCM(60944,60952) = 464332336