What is the Least Common Multiple of 91280 and 91288?

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 91288 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 91288, than apply into the LCM equation.

GCF(91280,91288) = 8
LCM(91280,91288) = ( 91280 × 91288) / 8
LCM(91280,91288) = 8332768640 / 8
LCM(91280,91288) = 1041596080

Least Common Multiple (LCM) of 91280 and 91288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91280 and 91288. First we will calculate the prime factors of 91280 and 91288.

Prime Factorization of 91280

Prime Factorization of 91288

Now multiplying the highest exponent prime factors to calculate the LCM of 91280 and 91288.

LCM(91280,91288) = 2⁴ × 5¹ × 7¹ × 163¹ × 11411¹
LCM(91280,91288) = 1041596080