What is the Least Common Multiple of 87255 and 87269?

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 87269 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 87269, than apply into the LCM equation.

GCF(87255,87269) = 7
LCM(87255,87269) = ( 87255 × 87269) / 7
LCM(87255,87269) = 7614656595 / 7
LCM(87255,87269) = 1087808085

Least Common Multiple (LCM) of 87255 and 87269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87255 and 87269. First we will calculate the prime factors of 87255 and 87269.

Prime Factorization of 87255

Prime Factorization of 87269

Now multiplying the highest exponent prime factors to calculate the LCM of 87255 and 87269.

LCM(87255,87269) = 3² × 5¹ × 7² × 277¹ × 13¹ × 137¹
LCM(87255,87269) = 1087808085