What is the Least Common Multiple of 74605 and 74623?

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 74605 and 74623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74605 and 74623, than apply into the LCM equation.

GCF(74605,74623) = 1
LCM(74605,74623) = ( 74605 × 74623) / 1
LCM(74605,74623) = 5567248915 / 1
LCM(74605,74623) = 5567248915

Least Common Multiple (LCM) of 74605 and 74623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74605 and 74623. First we will calculate the prime factors of 74605 and 74623.

Prime Factorization of 74605

Prime Factorization of 74623

Now multiplying the highest exponent prime factors to calculate the LCM of 74605 and 74623.

LCM(74605,74623) = 5¹ × 43¹ × 347¹ × 74623¹
LCM(74605,74623) = 5567248915