What is the Least Common Multiple of 39378 and 39387?

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 39378 and 39387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39378 and 39387, than apply into the LCM equation.

GCF(39378,39387) = 3
LCM(39378,39387) = ( 39378 × 39387) / 3
LCM(39378,39387) = 1550981286 / 3
LCM(39378,39387) = 516993762

Least Common Multiple (LCM) of 39378 and 39387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39378 and 39387. First we will calculate the prime factors of 39378 and 39387.

Prime Factorization of 39378

Prime Factorization of 39387

Now multiplying the highest exponent prime factors to calculate the LCM of 39378 and 39387.

LCM(39378,39387) = 2¹ × 3¹ × 6563¹ × 19¹ × 691¹
LCM(39378,39387) = 516993762