What is the Least Common Multiple of 65109 and 65124?

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 65124 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 65124, than apply into the LCM equation.

GCF(65109,65124) = 3
LCM(65109,65124) = ( 65109 × 65124) / 3
LCM(65109,65124) = 4240158516 / 3
LCM(65109,65124) = 1413386172

Least Common Multiple (LCM) of 65109 and 65124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65109 and 65124. First we will calculate the prime factors of 65109 and 65124.

Prime Factorization of 65109

Prime Factorization of 65124

Now multiplying the highest exponent prime factors to calculate the LCM of 65109 and 65124.

LCM(65109,65124) = 3⁵ × 11¹ × 1973¹ × 2² × 67¹
LCM(65109,65124) = 1413386172