What is the Least Common Multiple of 39920 and 39934?

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 39920 and 39934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39920 and 39934, than apply into the LCM equation.

GCF(39920,39934) = 2
LCM(39920,39934) = ( 39920 × 39934) / 2
LCM(39920,39934) = 1594165280 / 2
LCM(39920,39934) = 797082640

Least Common Multiple (LCM) of 39920 and 39934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39920 and 39934. First we will calculate the prime factors of 39920 and 39934.

Prime Factorization of 39920

Prime Factorization of 39934

Now multiplying the highest exponent prime factors to calculate the LCM of 39920 and 39934.

LCM(39920,39934) = 2⁴ × 5¹ × 499¹ × 41¹ × 487¹
LCM(39920,39934) = 797082640