What is the Least Common Multiple of 89123 and 89140?

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 89123 and 89140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89123 and 89140, than apply into the LCM equation.

GCF(89123,89140) = 1
LCM(89123,89140) = ( 89123 × 89140) / 1
LCM(89123,89140) = 7944424220 / 1
LCM(89123,89140) = 7944424220

Least Common Multiple (LCM) of 89123 and 89140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89123 and 89140. First we will calculate the prime factors of 89123 and 89140.

Prime Factorization of 89123

Prime Factorization of 89140

Now multiplying the highest exponent prime factors to calculate the LCM of 89123 and 89140.

LCM(89123,89140) = 89123¹ × 2² × 5¹ × 4457¹
LCM(89123,89140) = 7944424220