What is the Least Common Multiple of 12638 and 12653?

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 12638 and 12653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12638 and 12653, than apply into the LCM equation.

GCF(12638,12653) = 1
LCM(12638,12653) = ( 12638 × 12653) / 1
LCM(12638,12653) = 159908614 / 1
LCM(12638,12653) = 159908614

Least Common Multiple (LCM) of 12638 and 12653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12638 and 12653. First we will calculate the prime factors of 12638 and 12653.

Prime Factorization of 12638

Prime Factorization of 12653

Now multiplying the highest exponent prime factors to calculate the LCM of 12638 and 12653.

LCM(12638,12653) = 2¹ × 71¹ × 89¹ × 12653¹
LCM(12638,12653) = 159908614