What is the Least Common Multiple of 45152 and 45158?

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 45158 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 45158, than apply into the LCM equation.

GCF(45152,45158) = 2
LCM(45152,45158) = ( 45152 × 45158) / 2
LCM(45152,45158) = 2038974016 / 2
LCM(45152,45158) = 1019487008

Least Common Multiple (LCM) of 45152 and 45158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45152 and 45158. First we will calculate the prime factors of 45152 and 45158.

Prime Factorization of 45152

Prime Factorization of 45158

Now multiplying the highest exponent prime factors to calculate the LCM of 45152 and 45158.

LCM(45152,45158) = 2⁵ × 17¹ × 83¹ × 67¹ × 337¹
LCM(45152,45158) = 1019487008