What is the Least Common Multiple of 60909 and 60921?

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 60909 and 60921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60909 and 60921, than apply into the LCM equation.

GCF(60909,60921) = 3
LCM(60909,60921) = ( 60909 × 60921) / 3
LCM(60909,60921) = 3710637189 / 3
LCM(60909,60921) = 1236879063

Least Common Multiple (LCM) of 60909 and 60921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60909 and 60921. First we will calculate the prime factors of 60909 and 60921.

Prime Factorization of 60909

Prime Factorization of 60921

Now multiplying the highest exponent prime factors to calculate the LCM of 60909 and 60921.

LCM(60909,60921) = 3² × 79¹ × 257¹ × 7¹ × 967¹
LCM(60909,60921) = 1236879063