What is the Least Common Multiple of 39420 and 39433?

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 39420 and 39433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39420 and 39433, than apply into the LCM equation.

GCF(39420,39433) = 1
LCM(39420,39433) = ( 39420 × 39433) / 1
LCM(39420,39433) = 1554448860 / 1
LCM(39420,39433) = 1554448860

Least Common Multiple (LCM) of 39420 and 39433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39420 and 39433. First we will calculate the prime factors of 39420 and 39433.

Prime Factorization of 39420

Prime Factorization of 39433

Now multiplying the highest exponent prime factors to calculate the LCM of 39420 and 39433.

LCM(39420,39433) = 2² × 3³ × 5¹ × 73¹ × 47¹ × 839¹
LCM(39420,39433) = 1554448860