What is the Least Common Multiple of 75610 and 75623?

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 75610 and 75623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75610 and 75623, than apply into the LCM equation.

GCF(75610,75623) = 1
LCM(75610,75623) = ( 75610 × 75623) / 1
LCM(75610,75623) = 5717855030 / 1
LCM(75610,75623) = 5717855030

Least Common Multiple (LCM) of 75610 and 75623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75610 and 75623. First we will calculate the prime factors of 75610 and 75623.

Prime Factorization of 75610

Prime Factorization of 75623

Now multiplying the highest exponent prime factors to calculate the LCM of 75610 and 75623.

LCM(75610,75623) = 2¹ × 5¹ × 7561¹ × 47¹ × 1609¹
LCM(75610,75623) = 5717855030