What is the Least Common Multiple of 87278 and 87292?

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 87278 and 87292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87278 and 87292, than apply into the LCM equation.

GCF(87278,87292) = 2
LCM(87278,87292) = ( 87278 × 87292) / 2
LCM(87278,87292) = 7618671176 / 2
LCM(87278,87292) = 3809335588

Least Common Multiple (LCM) of 87278 and 87292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87278 and 87292. First we will calculate the prime factors of 87278 and 87292.

Prime Factorization of 87278

Prime Factorization of 87292

Now multiplying the highest exponent prime factors to calculate the LCM of 87278 and 87292.

LCM(87278,87292) = 2² × 17² × 151¹ × 139¹ × 157¹
LCM(87278,87292) = 3809335588