What is the Least Common Multiple of 75272 and 75278?

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 75272 and 75278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75272 and 75278, than apply into the LCM equation.

GCF(75272,75278) = 2
LCM(75272,75278) = ( 75272 × 75278) / 2
LCM(75272,75278) = 5666325616 / 2
LCM(75272,75278) = 2833162808

Least Common Multiple (LCM) of 75272 and 75278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75272 and 75278. First we will calculate the prime factors of 75272 and 75278.

Prime Factorization of 75272

Prime Factorization of 75278

Now multiplying the highest exponent prime factors to calculate the LCM of 75272 and 75278.

LCM(75272,75278) = 2³ × 97² × 7¹ × 19¹ × 283¹
LCM(75272,75278) = 2833162808