What is the Least Common Multiple of 47372 and 47385?

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 47372 and 47385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47372 and 47385, than apply into the LCM equation.

GCF(47372,47385) = 13
LCM(47372,47385) = ( 47372 × 47385) / 13
LCM(47372,47385) = 2244722220 / 13
LCM(47372,47385) = 172670940

Least Common Multiple (LCM) of 47372 and 47385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47372 and 47385. First we will calculate the prime factors of 47372 and 47385.

Prime Factorization of 47372

Prime Factorization of 47385

Now multiplying the highest exponent prime factors to calculate the LCM of 47372 and 47385.

LCM(47372,47385) = 2² × 13¹ × 911¹ × 3⁶ × 5¹
LCM(47372,47385) = 172670940