What is the Least Common Multiple of 88634 and 88648?

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 88634 and 88648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88634 and 88648, than apply into the LCM equation.

GCF(88634,88648) = 14
LCM(88634,88648) = ( 88634 × 88648) / 14
LCM(88634,88648) = 7857226832 / 14
LCM(88634,88648) = 561230488

Least Common Multiple (LCM) of 88634 and 88648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88634 and 88648. First we will calculate the prime factors of 88634 and 88648.

Prime Factorization of 88634

Prime Factorization of 88648

Now multiplying the highest exponent prime factors to calculate the LCM of 88634 and 88648.

LCM(88634,88648) = 2³ × 7¹ × 13¹ × 487¹ × 1583¹
LCM(88634,88648) = 561230488