What is the Least Common Multiple of 39540 and 39555?

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 39540 and 39555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39540 and 39555, than apply into the LCM equation.

GCF(39540,39555) = 15
LCM(39540,39555) = ( 39540 × 39555) / 15
LCM(39540,39555) = 1564004700 / 15
LCM(39540,39555) = 104266980

Least Common Multiple (LCM) of 39540 and 39555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39540 and 39555. First we will calculate the prime factors of 39540 and 39555.

Prime Factorization of 39540

Prime Factorization of 39555

Now multiplying the highest exponent prime factors to calculate the LCM of 39540 and 39555.

LCM(39540,39555) = 2² × 3³ × 5¹ × 659¹ × 293¹
LCM(39540,39555) = 104266980