What is the Least Common Multiple of 65126 and 65132?

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 65126 and 65132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65126 and 65132, than apply into the LCM equation.

GCF(65126,65132) = 2
LCM(65126,65132) = ( 65126 × 65132) / 2
LCM(65126,65132) = 4241786632 / 2
LCM(65126,65132) = 2120893316

Least Common Multiple (LCM) of 65126 and 65132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65126 and 65132. First we will calculate the prime factors of 65126 and 65132.

Prime Factorization of 65126

Prime Factorization of 65132

Now multiplying the highest exponent prime factors to calculate the LCM of 65126 and 65132.

LCM(65126,65132) = 2² × 32563¹ × 19¹ × 857¹
LCM(65126,65132) = 2120893316