What is the Least Common Multiple of 48674 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 48674 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 48674 and 48684, than apply into the LCM equation.

GCF(48674,48684) = 2
LCM(48674,48684) = ( 48674 × 48684) / 2
LCM(48674,48684) = 2369645016 / 2
LCM(48674,48684) = 1184822508

Least Common Multiple (LCM) of 48674 and 48684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48674 and 48684. First we will calculate the prime factors of 48674 and 48684.

Prime Factorization of 48674

Prime Factorization of 48684

Now multiplying the highest exponent prime factors to calculate the LCM of 48674 and 48684.

LCM(48674,48684) = 2² × 24337¹ × 3¹ × 4057¹
LCM(48674,48684) = 1184822508