What is the Least Common Multiple of 45192 and 45208?

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 45192 and 45208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45192 and 45208, than apply into the LCM equation.

GCF(45192,45208) = 8
LCM(45192,45208) = ( 45192 × 45208) / 8
LCM(45192,45208) = 2043039936 / 8
LCM(45192,45208) = 255379992

Least Common Multiple (LCM) of 45192 and 45208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45192 and 45208. First we will calculate the prime factors of 45192 and 45208.

Prime Factorization of 45192

Prime Factorization of 45208

Now multiplying the highest exponent prime factors to calculate the LCM of 45192 and 45208.

LCM(45192,45208) = 2³ × 3¹ × 7¹ × 269¹ × 5651¹
LCM(45192,45208) = 255379992