What is the Least Common Multiple of 45168 and 45188?

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 45168 and 45188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45168 and 45188, than apply into the LCM equation.

GCF(45168,45188) = 4
LCM(45168,45188) = ( 45168 × 45188) / 4
LCM(45168,45188) = 2041051584 / 4
LCM(45168,45188) = 510262896

Least Common Multiple (LCM) of 45168 and 45188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45168 and 45188. First we will calculate the prime factors of 45168 and 45188.

Prime Factorization of 45168

Prime Factorization of 45188

Now multiplying the highest exponent prime factors to calculate the LCM of 45168 and 45188.

LCM(45168,45188) = 2⁴ × 3¹ × 941¹ × 11¹ × 13¹ × 79¹
LCM(45168,45188) = 510262896