What is the Least Common Multiple of 88938 and 88949?

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 88938 and 88949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88938 and 88949, than apply into the LCM equation.

GCF(88938,88949) = 1
LCM(88938,88949) = ( 88938 × 88949) / 1
LCM(88938,88949) = 7910946162 / 1
LCM(88938,88949) = 7910946162

Least Common Multiple (LCM) of 88938 and 88949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88938 and 88949. First we will calculate the prime factors of 88938 and 88949.

Prime Factorization of 88938

Prime Factorization of 88949

Now multiplying the highest exponent prime factors to calculate the LCM of 88938 and 88949.

LCM(88938,88949) = 2¹ × 3⁶ × 61¹ × 7¹ × 97¹ × 131¹
LCM(88938,88949) = 7910946162