What is the Least Common Multiple of 74352 and 74366?

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 74352 and 74366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74352 and 74366, than apply into the LCM equation.

GCF(74352,74366) = 2
LCM(74352,74366) = ( 74352 × 74366) / 2
LCM(74352,74366) = 5529260832 / 2
LCM(74352,74366) = 2764630416

Least Common Multiple (LCM) of 74352 and 74366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74352 and 74366. First we will calculate the prime factors of 74352 and 74366.

Prime Factorization of 74352

Prime Factorization of 74366

Now multiplying the highest exponent prime factors to calculate the LCM of 74352 and 74366.

LCM(74352,74366) = 2⁴ × 3¹ × 1549¹ × 19² × 103¹
LCM(74352,74366) = 2764630416