What is the Least Common Multiple of 60921 and 60930?

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 60921 and 60930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60921 and 60930, than apply into the LCM equation.

GCF(60921,60930) = 9
LCM(60921,60930) = ( 60921 × 60930) / 9
LCM(60921,60930) = 3711916530 / 9
LCM(60921,60930) = 412435170

Least Common Multiple (LCM) of 60921 and 60930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60921 and 60930. First we will calculate the prime factors of 60921 and 60930.

Prime Factorization of 60921

Prime Factorization of 60930

Now multiplying the highest exponent prime factors to calculate the LCM of 60921 and 60930.

LCM(60921,60930) = 3² × 7¹ × 967¹ × 2¹ × 5¹ × 677¹
LCM(60921,60930) = 412435170