What is the Least Common Multiple of 39540 and 39548?

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 39548 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 39548, than apply into the LCM equation.

GCF(39540,39548) = 4
LCM(39540,39548) = ( 39540 × 39548) / 4
LCM(39540,39548) = 1563727920 / 4
LCM(39540,39548) = 390931980

Least Common Multiple (LCM) of 39540 and 39548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39540 and 39548. First we will calculate the prime factors of 39540 and 39548.

Prime Factorization of 39540

Prime Factorization of 39548

Now multiplying the highest exponent prime factors to calculate the LCM of 39540 and 39548.

LCM(39540,39548) = 2² × 3¹ × 5¹ × 659¹ × 9887¹
LCM(39540,39548) = 390931980