What is the Least Common Multiple of 65920 and 65939?

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 65920 and 65939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65920 and 65939, than apply into the LCM equation.

GCF(65920,65939) = 1
LCM(65920,65939) = ( 65920 × 65939) / 1
LCM(65920,65939) = 4346698880 / 1
LCM(65920,65939) = 4346698880

Least Common Multiple (LCM) of 65920 and 65939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65920 and 65939. First we will calculate the prime factors of 65920 and 65939.

Prime Factorization of 65920

Prime Factorization of 65939

Now multiplying the highest exponent prime factors to calculate the LCM of 65920 and 65939.

LCM(65920,65939) = 2⁷ × 5¹ × 103¹ × 233¹ × 283¹
LCM(65920,65939) = 4346698880