What is the Least Common Multiple of 45036 and 45048?

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 45036 and 45048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45036 and 45048, than apply into the LCM equation.

GCF(45036,45048) = 12
LCM(45036,45048) = ( 45036 × 45048) / 12
LCM(45036,45048) = 2028781728 / 12
LCM(45036,45048) = 169065144

Least Common Multiple (LCM) of 45036 and 45048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45036 and 45048. First we will calculate the prime factors of 45036 and 45048.

Prime Factorization of 45036

Prime Factorization of 45048

Now multiplying the highest exponent prime factors to calculate the LCM of 45036 and 45048.

LCM(45036,45048) = 2³ × 3⁴ × 139¹ × 1877¹
LCM(45036,45048) = 169065144