What is the Least Common Multiple of 48186 and 48192?

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 48186 and 48192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48186 and 48192, than apply into the LCM equation.

GCF(48186,48192) = 6
LCM(48186,48192) = ( 48186 × 48192) / 6
LCM(48186,48192) = 2322179712 / 6
LCM(48186,48192) = 387029952

Least Common Multiple (LCM) of 48186 and 48192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48186 and 48192. First we will calculate the prime factors of 48186 and 48192.

Prime Factorization of 48186

Prime Factorization of 48192

Now multiplying the highest exponent prime factors to calculate the LCM of 48186 and 48192.

LCM(48186,48192) = 2⁶ × 3² × 2677¹ × 251¹
LCM(48186,48192) = 387029952