What is the Least Common Multiple of 47656 and 47670?

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 47656 and 47670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47656 and 47670, than apply into the LCM equation.

GCF(47656,47670) = 14
LCM(47656,47670) = ( 47656 × 47670) / 14
LCM(47656,47670) = 2271761520 / 14
LCM(47656,47670) = 162268680

Least Common Multiple (LCM) of 47656 and 47670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47656 and 47670. First we will calculate the prime factors of 47656 and 47670.

Prime Factorization of 47656

Prime Factorization of 47670

Now multiplying the highest exponent prime factors to calculate the LCM of 47656 and 47670.

LCM(47656,47670) = 2³ × 7¹ × 23¹ × 37¹ × 3¹ × 5¹ × 227¹
LCM(47656,47670) = 162268680