What is the Least Common Multiple of 60924 and 60940?

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 60924 and 60940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60924 and 60940, than apply into the LCM equation.

GCF(60924,60940) = 4
LCM(60924,60940) = ( 60924 × 60940) / 4
LCM(60924,60940) = 3712708560 / 4
LCM(60924,60940) = 928177140

Least Common Multiple (LCM) of 60924 and 60940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60924 and 60940. First we will calculate the prime factors of 60924 and 60940.

Prime Factorization of 60924

Prime Factorization of 60940

Now multiplying the highest exponent prime factors to calculate the LCM of 60924 and 60940.

LCM(60924,60940) = 2² × 3¹ × 5077¹ × 5¹ × 11¹ × 277¹
LCM(60924,60940) = 928177140