What is the Least Common Multiple of 74648 and 74658?

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 74648 and 74658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74648 and 74658, than apply into the LCM equation.

GCF(74648,74658) = 2
LCM(74648,74658) = ( 74648 × 74658) / 2
LCM(74648,74658) = 5573070384 / 2
LCM(74648,74658) = 2786535192

Least Common Multiple (LCM) of 74648 and 74658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74648 and 74658. First we will calculate the prime factors of 74648 and 74658.

Prime Factorization of 74648

Prime Factorization of 74658

Now multiplying the highest exponent prime factors to calculate the LCM of 74648 and 74658.

LCM(74648,74658) = 2³ × 7¹ × 31¹ × 43¹ × 3¹ × 23¹ × 541¹
LCM(74648,74658) = 2786535192