What is the Least Common Multiple of 47352 and 47372?

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 47352 and 47372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47352 and 47372, than apply into the LCM equation.

GCF(47352,47372) = 4
LCM(47352,47372) = ( 47352 × 47372) / 4
LCM(47352,47372) = 2243158944 / 4
LCM(47352,47372) = 560789736

Least Common Multiple (LCM) of 47352 and 47372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47352 and 47372. First we will calculate the prime factors of 47352 and 47372.

Prime Factorization of 47352

Prime Factorization of 47372

Now multiplying the highest exponent prime factors to calculate the LCM of 47352 and 47372.

LCM(47352,47372) = 2³ × 3¹ × 1973¹ × 13¹ × 911¹
LCM(47352,47372) = 560789736