What is the Least Common Multiple of 65364 and 65373?

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 65364 and 65373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65364 and 65373, than apply into the LCM equation.

GCF(65364,65373) = 3
LCM(65364,65373) = ( 65364 × 65373) / 3
LCM(65364,65373) = 4273040772 / 3
LCM(65364,65373) = 1424346924

Least Common Multiple (LCM) of 65364 and 65373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65364 and 65373. First we will calculate the prime factors of 65364 and 65373.

Prime Factorization of 65364

Prime Factorization of 65373

Now multiplying the highest exponent prime factors to calculate the LCM of 65364 and 65373.

LCM(65364,65373) = 2² × 3¹ × 13¹ × 419¹ × 7¹ × 11¹ × 283¹
LCM(65364,65373) = 1424346924