What is the Least Common Multiple of 88123 and 88132?

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 88123 and 88132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88123 and 88132, than apply into the LCM equation.

GCF(88123,88132) = 1
LCM(88123,88132) = ( 88123 × 88132) / 1
LCM(88123,88132) = 7766456236 / 1
LCM(88123,88132) = 7766456236

Least Common Multiple (LCM) of 88123 and 88132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88123 and 88132. First we will calculate the prime factors of 88123 and 88132.

Prime Factorization of 88123

Prime Factorization of 88132

Now multiplying the highest exponent prime factors to calculate the LCM of 88123 and 88132.

LCM(88123,88132) = 7¹ × 12589¹ × 2² × 11¹ × 2003¹
LCM(88123,88132) = 7766456236