What is the Least Common Multiple of 74888 and 74892?

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 74888 and 74892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74888 and 74892, than apply into the LCM equation.

GCF(74888,74892) = 4
LCM(74888,74892) = ( 74888 × 74892) / 4
LCM(74888,74892) = 5608512096 / 4
LCM(74888,74892) = 1402128024

Least Common Multiple (LCM) of 74888 and 74892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74888 and 74892. First we will calculate the prime factors of 74888 and 74892.

Prime Factorization of 74888

Prime Factorization of 74892

Now multiplying the highest exponent prime factors to calculate the LCM of 74888 and 74892.

LCM(74888,74892) = 2³ × 11¹ × 23¹ × 37¹ × 3¹ × 79²
LCM(74888,74892) = 1402128024