What is the Least Common Multiple of 34657 and 34663?

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 34657 and 34663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34657 and 34663, than apply into the LCM equation.

GCF(34657,34663) = 1
LCM(34657,34663) = ( 34657 × 34663) / 1
LCM(34657,34663) = 1201315591 / 1
LCM(34657,34663) = 1201315591

Least Common Multiple (LCM) of 34657 and 34663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34657 and 34663. First we will calculate the prime factors of 34657 and 34663.

Prime Factorization of 34657

Prime Factorization of 34663

Now multiplying the highest exponent prime factors to calculate the LCM of 34657 and 34663.

LCM(34657,34663) = 7¹ × 4951¹ × 17¹ × 2039¹
LCM(34657,34663) = 1201315591