What is the Least Common Multiple of 70591 and 70601?

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 70591 and 70601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70591 and 70601, than apply into the LCM equation.

GCF(70591,70601) = 1
LCM(70591,70601) = ( 70591 × 70601) / 1
LCM(70591,70601) = 4983795191 / 1
LCM(70591,70601) = 4983795191

Least Common Multiple (LCM) of 70591 and 70601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70591 and 70601. First we will calculate the prime factors of 70591 and 70601.

Prime Factorization of 70591

Prime Factorization of 70601

Now multiplying the highest exponent prime factors to calculate the LCM of 70591 and 70601.

LCM(70591,70601) = 73¹ × 967¹ × 17¹ × 4153¹
LCM(70591,70601) = 4983795191