What is the Least Common Multiple of 74734 and 74748?

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 74734 and 74748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74734 and 74748, than apply into the LCM equation.

GCF(74734,74748) = 2
LCM(74734,74748) = ( 74734 × 74748) / 2
LCM(74734,74748) = 5586217032 / 2
LCM(74734,74748) = 2793108516

Least Common Multiple (LCM) of 74734 and 74748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74734 and 74748. First we will calculate the prime factors of 74734 and 74748.

Prime Factorization of 74734

Prime Factorization of 74748

Now multiplying the highest exponent prime factors to calculate the LCM of 74734 and 74748.

LCM(74734,74748) = 2² × 11¹ × 43¹ × 79¹ × 3¹ × 6229¹
LCM(74734,74748) = 2793108516