What is the Least Common Multiple of 88112 and 88126?

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 88112 and 88126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88112 and 88126, than apply into the LCM equation.

GCF(88112,88126) = 2
LCM(88112,88126) = ( 88112 × 88126) / 2
LCM(88112,88126) = 7764958112 / 2
LCM(88112,88126) = 3882479056

Least Common Multiple (LCM) of 88112 and 88126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88112 and 88126. First we will calculate the prime factors of 88112 and 88126.

Prime Factorization of 88112

Prime Factorization of 88126

Now multiplying the highest exponent prime factors to calculate the LCM of 88112 and 88126.

LCM(88112,88126) = 2⁴ × 5507¹ × 139¹ × 317¹
LCM(88112,88126) = 3882479056