What is the Least Common Multiple of 65320 and 65339?

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 65320 and 65339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65320 and 65339, than apply into the LCM equation.

GCF(65320,65339) = 1
LCM(65320,65339) = ( 65320 × 65339) / 1
LCM(65320,65339) = 4267943480 / 1
LCM(65320,65339) = 4267943480

Least Common Multiple (LCM) of 65320 and 65339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65320 and 65339. First we will calculate the prime factors of 65320 and 65339.

Prime Factorization of 65320

Prime Factorization of 65339

Now multiplying the highest exponent prime factors to calculate the LCM of 65320 and 65339.

LCM(65320,65339) = 2³ × 5¹ × 23¹ × 71¹ × 223¹ × 293¹
LCM(65320,65339) = 4267943480