What is the Least Common Multiple of 65105 and 65123?

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 65105 and 65123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65105 and 65123, than apply into the LCM equation.

GCF(65105,65123) = 1
LCM(65105,65123) = ( 65105 × 65123) / 1
LCM(65105,65123) = 4239832915 / 1
LCM(65105,65123) = 4239832915

Least Common Multiple (LCM) of 65105 and 65123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65105 and 65123. First we will calculate the prime factors of 65105 and 65123.

Prime Factorization of 65105

Prime Factorization of 65123

Now multiplying the highest exponent prime factors to calculate the LCM of 65105 and 65123.

LCM(65105,65123) = 5¹ × 29¹ × 449¹ × 65123¹
LCM(65105,65123) = 4239832915