What is the Least Common Multiple of 65378 and 65393?

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 65378 and 65393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65378 and 65393, than apply into the LCM equation.

GCF(65378,65393) = 1
LCM(65378,65393) = ( 65378 × 65393) / 1
LCM(65378,65393) = 4275263554 / 1
LCM(65378,65393) = 4275263554

Least Common Multiple (LCM) of 65378 and 65393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65378 and 65393. First we will calculate the prime factors of 65378 and 65393.

Prime Factorization of 65378

Prime Factorization of 65393

Now multiplying the highest exponent prime factors to calculate the LCM of 65378 and 65393.

LCM(65378,65393) = 2¹ × 97¹ × 337¹ × 65393¹
LCM(65378,65393) = 4275263554