What is the Least Common Multiple of 45192 and 45204?

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 45204 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 45204, than apply into the LCM equation.

GCF(45192,45204) = 12
LCM(45192,45204) = ( 45192 × 45204) / 12
LCM(45192,45204) = 2042859168 / 12
LCM(45192,45204) = 170238264

Least Common Multiple (LCM) of 45192 and 45204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45192 and 45204. First we will calculate the prime factors of 45192 and 45204.

Prime Factorization of 45192

Prime Factorization of 45204

Now multiplying the highest exponent prime factors to calculate the LCM of 45192 and 45204.

LCM(45192,45204) = 2³ × 3¹ × 7¹ × 269¹ × 3767¹
LCM(45192,45204) = 170238264