What is the Least Common Multiple of 91290 and 91295?

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 91290 and 91295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91290 and 91295, than apply into the LCM equation.

GCF(91290,91295) = 5
LCM(91290,91295) = ( 91290 × 91295) / 5
LCM(91290,91295) = 8334320550 / 5
LCM(91290,91295) = 1666864110

Least Common Multiple (LCM) of 91290 and 91295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91290 and 91295. First we will calculate the prime factors of 91290 and 91295.

Prime Factorization of 91290

Prime Factorization of 91295

Now multiplying the highest exponent prime factors to calculate the LCM of 91290 and 91295.

LCM(91290,91295) = 2¹ × 3¹ × 5¹ × 17¹ × 179¹ × 19¹ × 31²
LCM(91290,91295) = 1666864110