What is the Least Common Multiple of 65379 and 65385?

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 65379 and 65385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65379 and 65385, than apply into the LCM equation.

GCF(65379,65385) = 3
LCM(65379,65385) = ( 65379 × 65385) / 3
LCM(65379,65385) = 4274805915 / 3
LCM(65379,65385) = 1424935305

Least Common Multiple (LCM) of 65379 and 65385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65379 and 65385. First we will calculate the prime factors of 65379 and 65385.

Prime Factorization of 65379

Prime Factorization of 65385

Now multiplying the highest exponent prime factors to calculate the LCM of 65379 and 65385.

LCM(65379,65385) = 3² × 19¹ × 31¹ × 37¹ × 5¹ × 1453¹
LCM(65379,65385) = 1424935305