What is the Least Common Multiple of 74528 and 74546?

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 74528 and 74546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74528 and 74546, than apply into the LCM equation.

GCF(74528,74546) = 2
LCM(74528,74546) = ( 74528 × 74546) / 2
LCM(74528,74546) = 5555764288 / 2
LCM(74528,74546) = 2777882144

Least Common Multiple (LCM) of 74528 and 74546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74528 and 74546. First we will calculate the prime factors of 74528 and 74546.

Prime Factorization of 74528

Prime Factorization of 74546

Now multiplying the highest exponent prime factors to calculate the LCM of 74528 and 74546.

LCM(74528,74546) = 2⁵ × 17¹ × 137¹ × 37273¹
LCM(74528,74546) = 2777882144