What is the Least Common Multiple of 45174 and 45182?

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 45174 and 45182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45174 and 45182, than apply into the LCM equation.

GCF(45174,45182) = 2
LCM(45174,45182) = ( 45174 × 45182) / 2
LCM(45174,45182) = 2041051668 / 2
LCM(45174,45182) = 1020525834

Least Common Multiple (LCM) of 45174 and 45182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45174 and 45182. First we will calculate the prime factors of 45174 and 45182.

Prime Factorization of 45174

Prime Factorization of 45182

Now multiplying the highest exponent prime factors to calculate the LCM of 45174 and 45182.

LCM(45174,45182) = 2¹ × 3¹ × 7529¹ × 19¹ × 29¹ × 41¹
LCM(45174,45182) = 1020525834