What is the Least Common Multiple of 87272 and 87286?

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 87272 and 87286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87272 and 87286, than apply into the LCM equation.

GCF(87272,87286) = 2
LCM(87272,87286) = ( 87272 × 87286) / 2
LCM(87272,87286) = 7617623792 / 2
LCM(87272,87286) = 3808811896

Least Common Multiple (LCM) of 87272 and 87286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87272 and 87286. First we will calculate the prime factors of 87272 and 87286.

Prime Factorization of 87272

Prime Factorization of 87286

Now multiplying the highest exponent prime factors to calculate the LCM of 87272 and 87286.

LCM(87272,87286) = 2³ × 10909¹ × 19¹ × 2297¹
LCM(87272,87286) = 3808811896