What is the Least Common Multiple of 88112 and 88123?

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 88123 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 88123, than apply into the LCM equation.

GCF(88112,88123) = 1
LCM(88112,88123) = ( 88112 × 88123) / 1
LCM(88112,88123) = 7764693776 / 1
LCM(88112,88123) = 7764693776

Least Common Multiple (LCM) of 88112 and 88123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88112 and 88123. First we will calculate the prime factors of 88112 and 88123.

Prime Factorization of 88112

Prime Factorization of 88123

Now multiplying the highest exponent prime factors to calculate the LCM of 88112 and 88123.

LCM(88112,88123) = 2⁴ × 5507¹ × 7¹ × 12589¹
LCM(88112,88123) = 7764693776