What is the Least Common Multiple of 70493 and 70513?

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 70493 and 70513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70493 and 70513, than apply into the LCM equation.

GCF(70493,70513) = 1
LCM(70493,70513) = ( 70493 × 70513) / 1
LCM(70493,70513) = 4970672909 / 1
LCM(70493,70513) = 4970672909

Least Common Multiple (LCM) of 70493 and 70513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70493 and 70513. First we will calculate the prime factors of 70493 and 70513.

Prime Factorization of 70493

Prime Factorization of 70513

Now multiplying the highest exponent prime factors to calculate the LCM of 70493 and 70513.

LCM(70493,70513) = 157¹ × 449¹ × 107¹ × 659¹
LCM(70493,70513) = 4970672909