What is the Least Common Multiple of 45152 and 45162?

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 45152 and 45162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45152 and 45162, than apply into the LCM equation.

GCF(45152,45162) = 2
LCM(45152,45162) = ( 45152 × 45162) / 2
LCM(45152,45162) = 2039154624 / 2
LCM(45152,45162) = 1019577312

Least Common Multiple (LCM) of 45152 and 45162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45152 and 45162. First we will calculate the prime factors of 45152 and 45162.

Prime Factorization of 45152

Prime Factorization of 45162

Now multiplying the highest exponent prime factors to calculate the LCM of 45152 and 45162.

LCM(45152,45162) = 2⁵ × 17¹ × 83¹ × 3² × 13¹ × 193¹
LCM(45152,45162) = 1019577312