What is the Least Common Multiple of 47460 and 47472?

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 47460 and 47472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47460 and 47472, than apply into the LCM equation.

GCF(47460,47472) = 12
LCM(47460,47472) = ( 47460 × 47472) / 12
LCM(47460,47472) = 2253021120 / 12
LCM(47460,47472) = 187751760

Least Common Multiple (LCM) of 47460 and 47472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47460 and 47472. First we will calculate the prime factors of 47460 and 47472.

Prime Factorization of 47460

Prime Factorization of 47472

Now multiplying the highest exponent prime factors to calculate the LCM of 47460 and 47472.

LCM(47460,47472) = 2⁴ × 3¹ × 5¹ × 7¹ × 113¹ × 23¹ × 43¹
LCM(47460,47472) = 187751760