What is the Least Common Multiple of 91280 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 91280 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 91280 and 91290, than apply into the LCM equation.

GCF(91280,91290) = 10
LCM(91280,91290) = ( 91280 × 91290) / 10
LCM(91280,91290) = 8332951200 / 10
LCM(91280,91290) = 833295120

Least Common Multiple (LCM) of 91280 and 91290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91280 and 91290. First we will calculate the prime factors of 91280 and 91290.

Prime Factorization of 91280

Prime Factorization of 91290

Now multiplying the highest exponent prime factors to calculate the LCM of 91280 and 91290.

LCM(91280,91290) = 2⁴ × 5¹ × 7¹ × 163¹ × 3¹ × 17¹ × 179¹
LCM(91280,91290) = 833295120