What is the Least Common Multiple of 65074 and 65086?

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 65074 and 65086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65074 and 65086, than apply into the LCM equation.

GCF(65074,65086) = 2
LCM(65074,65086) = ( 65074 × 65086) / 2
LCM(65074,65086) = 4235406364 / 2
LCM(65074,65086) = 2117703182

Least Common Multiple (LCM) of 65074 and 65086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65074 and 65086. First we will calculate the prime factors of 65074 and 65086.

Prime Factorization of 65074

Prime Factorization of 65086

Now multiplying the highest exponent prime factors to calculate the LCM of 65074 and 65086.

LCM(65074,65086) = 2¹ × 32537¹ × 7¹ × 4649¹
LCM(65074,65086) = 2117703182