What is the Least Common Multiple of 95280 and 95286?

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 95280 and 95286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95280 and 95286, than apply into the LCM equation.

GCF(95280,95286) = 6
LCM(95280,95286) = ( 95280 × 95286) / 6
LCM(95280,95286) = 9078850080 / 6
LCM(95280,95286) = 1513141680

Least Common Multiple (LCM) of 95280 and 95286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95280 and 95286. First we will calculate the prime factors of 95280 and 95286.

Prime Factorization of 95280

Prime Factorization of 95286

Now multiplying the highest exponent prime factors to calculate the LCM of 95280 and 95286.

LCM(95280,95286) = 2⁴ × 3¹ × 5¹ × 397¹ × 15881¹
LCM(95280,95286) = 1513141680