What is the Least Common Multiple of 60007 and 60023?

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 60007 and 60023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60007 and 60023, than apply into the LCM equation.

GCF(60007,60023) = 1
LCM(60007,60023) = ( 60007 × 60023) / 1
LCM(60007,60023) = 3601800161 / 1
LCM(60007,60023) = 3601800161

Least Common Multiple (LCM) of 60007 and 60023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60007 and 60023. First we will calculate the prime factors of 60007 and 60023.

Prime Factorization of 60007

Prime Factorization of 60023

Now multiplying the highest exponent prime factors to calculate the LCM of 60007 and 60023.

LCM(60007,60023) = 23¹ × 2609¹ × 193¹ × 311¹
LCM(60007,60023) = 3601800161