What is the Least Common Multiple of 47670 and 47688?

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 47670 and 47688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47670 and 47688, than apply into the LCM equation.

GCF(47670,47688) = 6
LCM(47670,47688) = ( 47670 × 47688) / 6
LCM(47670,47688) = 2273286960 / 6
LCM(47670,47688) = 378881160

Least Common Multiple (LCM) of 47670 and 47688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47670 and 47688. First we will calculate the prime factors of 47670 and 47688.

Prime Factorization of 47670

Prime Factorization of 47688

Now multiplying the highest exponent prime factors to calculate the LCM of 47670 and 47688.

LCM(47670,47688) = 2³ × 3¹ × 5¹ × 7¹ × 227¹ × 1987¹
LCM(47670,47688) = 378881160