What is the Least Common Multiple of 65114 and 65130?

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 65114 and 65130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65114 and 65130, than apply into the LCM equation.

GCF(65114,65130) = 2
LCM(65114,65130) = ( 65114 × 65130) / 2
LCM(65114,65130) = 4240874820 / 2
LCM(65114,65130) = 2120437410

Least Common Multiple (LCM) of 65114 and 65130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65114 and 65130. First we will calculate the prime factors of 65114 and 65130.

Prime Factorization of 65114

Prime Factorization of 65130

Now multiplying the highest exponent prime factors to calculate the LCM of 65114 and 65130.

LCM(65114,65130) = 2¹ × 7¹ × 4651¹ × 3¹ × 5¹ × 13¹ × 167¹
LCM(65114,65130) = 2120437410