What is the Least Common Multiple of 87255 and 87260?

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 87260 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 87260, than apply into the LCM equation.

GCF(87255,87260) = 5
LCM(87255,87260) = ( 87255 × 87260) / 5
LCM(87255,87260) = 7613871300 / 5
LCM(87255,87260) = 1522774260

Least Common Multiple (LCM) of 87255 and 87260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87255 and 87260. First we will calculate the prime factors of 87255 and 87260.

Prime Factorization of 87255

Prime Factorization of 87260

Now multiplying the highest exponent prime factors to calculate the LCM of 87255 and 87260.

LCM(87255,87260) = 3² × 5¹ × 7¹ × 277¹ × 2² × 4363¹
LCM(87255,87260) = 1522774260