What is the Least Common Multiple of 47152 and 47164?

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 47152 and 47164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47152 and 47164, than apply into the LCM equation.

GCF(47152,47164) = 4
LCM(47152,47164) = ( 47152 × 47164) / 4
LCM(47152,47164) = 2223876928 / 4
LCM(47152,47164) = 555969232

Least Common Multiple (LCM) of 47152 and 47164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47152 and 47164. First we will calculate the prime factors of 47152 and 47164.

Prime Factorization of 47152

Prime Factorization of 47164

Now multiplying the highest exponent prime factors to calculate the LCM of 47152 and 47164.

LCM(47152,47164) = 2⁴ × 7¹ × 421¹ × 13¹ × 907¹
LCM(47152,47164) = 555969232