What is the Least Common Multiple of 45186 and 45192?

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 45186 and 45192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45186 and 45192, than apply into the LCM equation.

GCF(45186,45192) = 6
LCM(45186,45192) = ( 45186 × 45192) / 6
LCM(45186,45192) = 2042045712 / 6
LCM(45186,45192) = 340340952

Least Common Multiple (LCM) of 45186 and 45192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45186 and 45192. First we will calculate the prime factors of 45186 and 45192.

Prime Factorization of 45186

Prime Factorization of 45192

Now multiplying the highest exponent prime factors to calculate the LCM of 45186 and 45192.

LCM(45186,45192) = 2³ × 3¹ × 17¹ × 443¹ × 7¹ × 269¹
LCM(45186,45192) = 340340952