What is the Least Common Multiple of 65134 and 65148?

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 65134 and 65148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65134 and 65148, than apply into the LCM equation.

GCF(65134,65148) = 2
LCM(65134,65148) = ( 65134 × 65148) / 2
LCM(65134,65148) = 4243349832 / 2
LCM(65134,65148) = 2121674916

Least Common Multiple (LCM) of 65134 and 65148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65134 and 65148. First we will calculate the prime factors of 65134 and 65148.

Prime Factorization of 65134

Prime Factorization of 65148

Now multiplying the highest exponent prime factors to calculate the LCM of 65134 and 65148.

LCM(65134,65148) = 2² × 29¹ × 1123¹ × 3¹ × 61¹ × 89¹
LCM(65134,65148) = 2121674916