What is the Least Common Multiple of 87272 and 87281?

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 87281 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 87281, than apply into the LCM equation.

GCF(87272,87281) = 1
LCM(87272,87281) = ( 87272 × 87281) / 1
LCM(87272,87281) = 7617187432 / 1
LCM(87272,87281) = 7617187432

Least Common Multiple (LCM) of 87272 and 87281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87272 and 87281. First we will calculate the prime factors of 87272 and 87281.

Prime Factorization of 87272

Prime Factorization of 87281

Now multiplying the highest exponent prime factors to calculate the LCM of 87272 and 87281.

LCM(87272,87281) = 2³ × 10909¹ × 87281¹
LCM(87272,87281) = 7617187432