What is the Least Common Multiple of 87257 and 87265?

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 87257 and 87265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87257 and 87265, than apply into the LCM equation.

GCF(87257,87265) = 1
LCM(87257,87265) = ( 87257 × 87265) / 1
LCM(87257,87265) = 7614482105 / 1
LCM(87257,87265) = 7614482105

Least Common Multiple (LCM) of 87257 and 87265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87257 and 87265. First we will calculate the prime factors of 87257 and 87265.

Prime Factorization of 87257

Prime Factorization of 87265

Now multiplying the highest exponent prime factors to calculate the LCM of 87257 and 87265.

LCM(87257,87265) = 87257¹ × 5¹ × 31¹ × 563¹
LCM(87257,87265) = 7614482105