What is the Least Common Multiple of 35297 and 35313?

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 35297 and 35313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35297 and 35313, than apply into the LCM equation.

GCF(35297,35313) = 1
LCM(35297,35313) = ( 35297 × 35313) / 1
LCM(35297,35313) = 1246442961 / 1
LCM(35297,35313) = 1246442961

Least Common Multiple (LCM) of 35297 and 35313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35297 and 35313. First we will calculate the prime factors of 35297 and 35313.

Prime Factorization of 35297

Prime Factorization of 35313

Now multiplying the highest exponent prime factors to calculate the LCM of 35297 and 35313.

LCM(35297,35313) = 47¹ × 751¹ × 3¹ × 79¹ × 149¹
LCM(35297,35313) = 1246442961