What is the Least Common Multiple of 90186 and 90192?

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 90186 and 90192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90186 and 90192, than apply into the LCM equation.

GCF(90186,90192) = 6
LCM(90186,90192) = ( 90186 × 90192) / 6
LCM(90186,90192) = 8134055712 / 6
LCM(90186,90192) = 1355675952

Least Common Multiple (LCM) of 90186 and 90192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90186 and 90192. First we will calculate the prime factors of 90186 and 90192.

Prime Factorization of 90186

Prime Factorization of 90192

Now multiplying the highest exponent prime factors to calculate the LCM of 90186 and 90192.

LCM(90186,90192) = 2⁴ × 3¹ × 15031¹ × 1879¹
LCM(90186,90192) = 1355675952