What is the Least Common Multiple of 91146 and 91153?

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 91146 and 91153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91146 and 91153, than apply into the LCM equation.

GCF(91146,91153) = 1
LCM(91146,91153) = ( 91146 × 91153) / 1
LCM(91146,91153) = 8308231338 / 1
LCM(91146,91153) = 8308231338

Least Common Multiple (LCM) of 91146 and 91153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91146 and 91153. First we will calculate the prime factors of 91146 and 91153.

Prime Factorization of 91146

Prime Factorization of 91153

Now multiplying the highest exponent prime factors to calculate the LCM of 91146 and 91153.

LCM(91146,91153) = 2¹ × 3¹ × 11¹ × 1381¹ × 91153¹
LCM(91146,91153) = 8308231338