What is the Least Common Multiple of 65370 and 65384?

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 65370 and 65384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65370 and 65384, than apply into the LCM equation.

GCF(65370,65384) = 2
LCM(65370,65384) = ( 65370 × 65384) / 2
LCM(65370,65384) = 4274152080 / 2
LCM(65370,65384) = 2137076040

Least Common Multiple (LCM) of 65370 and 65384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65370 and 65384. First we will calculate the prime factors of 65370 and 65384.

Prime Factorization of 65370

Prime Factorization of 65384

Now multiplying the highest exponent prime factors to calculate the LCM of 65370 and 65384.

LCM(65370,65384) = 2³ × 3¹ × 5¹ × 2179¹ × 11¹ × 743¹
LCM(65370,65384) = 2137076040