What is the Least Common Multiple of 65137 and 65147?

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 65137 and 65147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65137 and 65147, than apply into the LCM equation.

GCF(65137,65147) = 1
LCM(65137,65147) = ( 65137 × 65147) / 1
LCM(65137,65147) = 4243480139 / 1
LCM(65137,65147) = 4243480139

Least Common Multiple (LCM) of 65137 and 65147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65137 and 65147. First we will calculate the prime factors of 65137 and 65147.

Prime Factorization of 65137

Prime Factorization of 65147

Now multiplying the highest exponent prime factors to calculate the LCM of 65137 and 65147.

LCM(65137,65147) = 53¹ × 1229¹ × 65147¹
LCM(65137,65147) = 4243480139