What is the Least Common Multiple of 74346 and 74352?

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 74346 and 74352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74346 and 74352, than apply into the LCM equation.

GCF(74346,74352) = 6
LCM(74346,74352) = ( 74346 × 74352) / 6
LCM(74346,74352) = 5527773792 / 6
LCM(74346,74352) = 921295632

Least Common Multiple (LCM) of 74346 and 74352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74346 and 74352. First we will calculate the prime factors of 74346 and 74352.

Prime Factorization of 74346

Prime Factorization of 74352

Now multiplying the highest exponent prime factors to calculate the LCM of 74346 and 74352.

LCM(74346,74352) = 2⁴ × 3¹ × 12391¹ × 1549¹
LCM(74346,74352) = 921295632