What is the Least Common Multiple of 87637 and 87643?

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 87637 and 87643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87637 and 87643, than apply into the LCM equation.

GCF(87637,87643) = 1
LCM(87637,87643) = ( 87637 × 87643) / 1
LCM(87637,87643) = 7680769591 / 1
LCM(87637,87643) = 7680769591

Least Common Multiple (LCM) of 87637 and 87643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87637 and 87643. First we will calculate the prime factors of 87637 and 87643.

Prime Factorization of 87637

Prime Factorization of 87643

Now multiplying the highest exponent prime factors to calculate the LCM of 87637 and 87643.

LCM(87637,87643) = 11¹ × 31¹ × 257¹ × 87643¹
LCM(87637,87643) = 7680769591