What is the Least Common Multiple of 74448 and 74458?

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 74448 and 74458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74448 and 74458, than apply into the LCM equation.

GCF(74448,74458) = 2
LCM(74448,74458) = ( 74448 × 74458) / 2
LCM(74448,74458) = 5543249184 / 2
LCM(74448,74458) = 2771624592

Least Common Multiple (LCM) of 74448 and 74458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74448 and 74458. First we will calculate the prime factors of 74448 and 74458.

Prime Factorization of 74448

Prime Factorization of 74458

Now multiplying the highest exponent prime factors to calculate the LCM of 74448 and 74458.

LCM(74448,74458) = 2⁴ × 3² × 11¹ × 47¹ × 59¹ × 631¹
LCM(74448,74458) = 2771624592