What is the Least Common Multiple of 60960 and 60976?

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 60960 and 60976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60960 and 60976, than apply into the LCM equation.

GCF(60960,60976) = 16
LCM(60960,60976) = ( 60960 × 60976) / 16
LCM(60960,60976) = 3717096960 / 16
LCM(60960,60976) = 232318560

Least Common Multiple (LCM) of 60960 and 60976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60960 and 60976. First we will calculate the prime factors of 60960 and 60976.

Prime Factorization of 60960

Prime Factorization of 60976

Now multiplying the highest exponent prime factors to calculate the LCM of 60960 and 60976.

LCM(60960,60976) = 2⁵ × 3¹ × 5¹ × 127¹ × 37¹ × 103¹
LCM(60960,60976) = 232318560