What is the Least Common Multiple of 88624 and 88634?

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 88624 and 88634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88624 and 88634, than apply into the LCM equation.

GCF(88624,88634) = 2
LCM(88624,88634) = ( 88624 × 88634) / 2
LCM(88624,88634) = 7855099616 / 2
LCM(88624,88634) = 3927549808

Least Common Multiple (LCM) of 88624 and 88634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88624 and 88634. First we will calculate the prime factors of 88624 and 88634.

Prime Factorization of 88624

Prime Factorization of 88634

Now multiplying the highest exponent prime factors to calculate the LCM of 88624 and 88634.

LCM(88624,88634) = 2⁴ × 29¹ × 191¹ × 7¹ × 13¹ × 487¹
LCM(88624,88634) = 3927549808