What is the Least Common Multiple of 65109 and 65126?

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 65109 and 65126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65109 and 65126, than apply into the LCM equation.

GCF(65109,65126) = 1
LCM(65109,65126) = ( 65109 × 65126) / 1
LCM(65109,65126) = 4240288734 / 1
LCM(65109,65126) = 4240288734

Least Common Multiple (LCM) of 65109 and 65126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65109 and 65126. First we will calculate the prime factors of 65109 and 65126.

Prime Factorization of 65109

Prime Factorization of 65126

Now multiplying the highest exponent prime factors to calculate the LCM of 65109 and 65126.

LCM(65109,65126) = 3¹ × 11¹ × 1973¹ × 2¹ × 32563¹
LCM(65109,65126) = 4240288734