What is the Least Common Multiple of 65123 and 65135?

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 65123 and 65135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65123 and 65135, than apply into the LCM equation.

GCF(65123,65135) = 1
LCM(65123,65135) = ( 65123 × 65135) / 1
LCM(65123,65135) = 4241786605 / 1
LCM(65123,65135) = 4241786605

Least Common Multiple (LCM) of 65123 and 65135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65123 and 65135. First we will calculate the prime factors of 65123 and 65135.

Prime Factorization of 65123

Prime Factorization of 65135

Now multiplying the highest exponent prime factors to calculate the LCM of 65123 and 65135.

LCM(65123,65135) = 65123¹ × 5¹ × 7¹ × 1861¹
LCM(65123,65135) = 4241786605