What is the Least Common Multiple of 87255 and 87267?

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 87255 and 87267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87255 and 87267, than apply into the LCM equation.

GCF(87255,87267) = 3
LCM(87255,87267) = ( 87255 × 87267) / 3
LCM(87255,87267) = 7614482085 / 3
LCM(87255,87267) = 2538160695

Least Common Multiple (LCM) of 87255 and 87267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87255 and 87267. First we will calculate the prime factors of 87255 and 87267.

Prime Factorization of 87255

Prime Factorization of 87267

Now multiplying the highest exponent prime factors to calculate the LCM of 87255 and 87267.

LCM(87255,87267) = 3² × 5¹ × 7¹ × 277¹ × 19¹ × 1531¹
LCM(87255,87267) = 2538160695