What is the Least Common Multiple of 89123 and 89142?

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 89142 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 89142, than apply into the LCM equation.

GCF(89123,89142) = 1
LCM(89123,89142) = ( 89123 × 89142) / 1
LCM(89123,89142) = 7944602466 / 1
LCM(89123,89142) = 7944602466

Least Common Multiple (LCM) of 89123 and 89142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89123 and 89142. First we will calculate the prime factors of 89123 and 89142.

Prime Factorization of 89123

Prime Factorization of 89142

Now multiplying the highest exponent prime factors to calculate the LCM of 89123 and 89142.

LCM(89123,89142) = 89123¹ × 2¹ × 3¹ × 83¹ × 179¹
LCM(89123,89142) = 7944602466