What is the Least Common Multiple of 74056 and 74066?

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 74056 and 74066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74056 and 74066, than apply into the LCM equation.

GCF(74056,74066) = 2
LCM(74056,74066) = ( 74056 × 74066) / 2
LCM(74056,74066) = 5485031696 / 2
LCM(74056,74066) = 2742515848

Least Common Multiple (LCM) of 74056 and 74066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74056 and 74066. First we will calculate the prime factors of 74056 and 74066.

Prime Factorization of 74056

Prime Factorization of 74066

Now multiplying the highest exponent prime factors to calculate the LCM of 74056 and 74066.

LCM(74056,74066) = 2³ × 9257¹ × 29¹ × 1277¹
LCM(74056,74066) = 2742515848