What is the Least Common Multiple of 60900 and 60912?

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 60900 and 60912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60900 and 60912, than apply into the LCM equation.

GCF(60900,60912) = 12
LCM(60900,60912) = ( 60900 × 60912) / 12
LCM(60900,60912) = 3709540800 / 12
LCM(60900,60912) = 309128400

Least Common Multiple (LCM) of 60900 and 60912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60900 and 60912. First we will calculate the prime factors of 60900 and 60912.

Prime Factorization of 60900

Prime Factorization of 60912

Now multiplying the highest exponent prime factors to calculate the LCM of 60900 and 60912.

LCM(60900,60912) = 2⁴ × 3⁴ × 5² × 7¹ × 29¹ × 47¹
LCM(60900,60912) = 309128400