What is the Least Common Multiple of 65120 and 65138?

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 65120 and 65138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65120 and 65138, than apply into the LCM equation.

GCF(65120,65138) = 2
LCM(65120,65138) = ( 65120 × 65138) / 2
LCM(65120,65138) = 4241786560 / 2
LCM(65120,65138) = 2120893280

Least Common Multiple (LCM) of 65120 and 65138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65120 and 65138. First we will calculate the prime factors of 65120 and 65138.

Prime Factorization of 65120

Prime Factorization of 65138

Now multiplying the highest exponent prime factors to calculate the LCM of 65120 and 65138.

LCM(65120,65138) = 2⁵ × 5¹ × 11¹ × 37¹ × 32569¹
LCM(65120,65138) = 2120893280