What is the Least Common Multiple of 65131 and 65137?

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 65131 and 65137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65131 and 65137, than apply into the LCM equation.

GCF(65131,65137) = 1
LCM(65131,65137) = ( 65131 × 65137) / 1
LCM(65131,65137) = 4242437947 / 1
LCM(65131,65137) = 4242437947

Least Common Multiple (LCM) of 65131 and 65137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65131 and 65137. First we will calculate the prime factors of 65131 and 65137.

Prime Factorization of 65131

Prime Factorization of 65137

Now multiplying the highest exponent prime factors to calculate the LCM of 65131 and 65137.

LCM(65131,65137) = 11¹ × 31¹ × 191¹ × 53¹ × 1229¹
LCM(65131,65137) = 4242437947