What is the Least Common Multiple of 91280 and 91293?

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 91293 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 91293, than apply into the LCM equation.

GCF(91280,91293) = 1
LCM(91280,91293) = ( 91280 × 91293) / 1
LCM(91280,91293) = 8333225040 / 1
LCM(91280,91293) = 8333225040

Least Common Multiple (LCM) of 91280 and 91293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91280 and 91293. First we will calculate the prime factors of 91280 and 91293.

Prime Factorization of 91280

Prime Factorization of 91293

Now multiplying the highest exponent prime factors to calculate the LCM of 91280 and 91293.

LCM(91280,91293) = 2⁴ × 5¹ × 7¹ × 163¹ × 3¹ × 30431¹
LCM(91280,91293) = 8333225040