What is the Least Common Multiple of 59448 and 59454?

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 59448 and 59454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59448 and 59454, than apply into the LCM equation.

GCF(59448,59454) = 6
LCM(59448,59454) = ( 59448 × 59454) / 6
LCM(59448,59454) = 3534421392 / 6
LCM(59448,59454) = 589070232

Least Common Multiple (LCM) of 59448 and 59454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59448 and 59454. First we will calculate the prime factors of 59448 and 59454.

Prime Factorization of 59448

Prime Factorization of 59454

Now multiplying the highest exponent prime factors to calculate the LCM of 59448 and 59454.

LCM(59448,59454) = 2³ × 3⁴ × 2477¹ × 367¹
LCM(59448,59454) = 589070232