What is the Least Common Multiple of 65124 and 65134?

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 65124 and 65134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65124 and 65134, than apply into the LCM equation.

GCF(65124,65134) = 2
LCM(65124,65134) = ( 65124 × 65134) / 2
LCM(65124,65134) = 4241786616 / 2
LCM(65124,65134) = 2120893308

Least Common Multiple (LCM) of 65124 and 65134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65124 and 65134. First we will calculate the prime factors of 65124 and 65134.

Prime Factorization of 65124

Prime Factorization of 65134

Now multiplying the highest exponent prime factors to calculate the LCM of 65124 and 65134.

LCM(65124,65134) = 2² × 3⁵ × 67¹ × 29¹ × 1123¹
LCM(65124,65134) = 2120893308