What is the Least Common Multiple of 48664 and 48684?

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 48664 and 48684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48664 and 48684, than apply into the LCM equation.

GCF(48664,48684) = 4
LCM(48664,48684) = ( 48664 × 48684) / 4
LCM(48664,48684) = 2369158176 / 4
LCM(48664,48684) = 592289544

Least Common Multiple (LCM) of 48664 and 48684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48664 and 48684. First we will calculate the prime factors of 48664 and 48684.

Prime Factorization of 48664

Prime Factorization of 48684

Now multiplying the highest exponent prime factors to calculate the LCM of 48664 and 48684.

LCM(48664,48684) = 2³ × 7¹ × 11¹ × 79¹ × 3¹ × 4057¹
LCM(48664,48684) = 592289544