What is the Least Common Multiple of 87341 and 87351?

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 87341 and 87351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87341 and 87351, than apply into the LCM equation.

GCF(87341,87351) = 1
LCM(87341,87351) = ( 87341 × 87351) / 1
LCM(87341,87351) = 7629323691 / 1
LCM(87341,87351) = 7629323691

Least Common Multiple (LCM) of 87341 and 87351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87341 and 87351. First we will calculate the prime factors of 87341 and 87351.

Prime Factorization of 87341

Prime Factorization of 87351

Now multiplying the highest exponent prime factors to calculate the LCM of 87341 and 87351.

LCM(87341,87351) = 167¹ × 523¹ × 3¹ × 11¹ × 2647¹
LCM(87341,87351) = 7629323691