What is the Least Common Multiple of 91282 and 91290?

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 91282 and 91290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91282 and 91290, than apply into the LCM equation.

GCF(91282,91290) = 2
LCM(91282,91290) = ( 91282 × 91290) / 2
LCM(91282,91290) = 8333133780 / 2
LCM(91282,91290) = 4166566890

Least Common Multiple (LCM) of 91282 and 91290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91282 and 91290. First we will calculate the prime factors of 91282 and 91290.

Prime Factorization of 91282

Prime Factorization of 91290

Now multiplying the highest exponent prime factors to calculate the LCM of 91282 and 91290.

LCM(91282,91290) = 2¹ × 45641¹ × 3¹ × 5¹ × 17¹ × 179¹
LCM(91282,91290) = 4166566890