What is the Least Common Multiple of 74176 and 74182?

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 74176 and 74182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74176 and 74182, than apply into the LCM equation.

GCF(74176,74182) = 2
LCM(74176,74182) = ( 74176 × 74182) / 2
LCM(74176,74182) = 5502524032 / 2
LCM(74176,74182) = 2751262016

Least Common Multiple (LCM) of 74176 and 74182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74176 and 74182. First we will calculate the prime factors of 74176 and 74182.

Prime Factorization of 74176

Prime Factorization of 74182

Now multiplying the highest exponent prime factors to calculate the LCM of 74176 and 74182.

LCM(74176,74182) = 2⁶ × 19¹ × 61¹ × 29¹ × 1279¹
LCM(74176,74182) = 2751262016