What is the Least Common Multiple of 39374 and 39381?

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 39374 and 39381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39374 and 39381, than apply into the LCM equation.

GCF(39374,39381) = 1
LCM(39374,39381) = ( 39374 × 39381) / 1
LCM(39374,39381) = 1550587494 / 1
LCM(39374,39381) = 1550587494

Least Common Multiple (LCM) of 39374 and 39381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39374 and 39381. First we will calculate the prime factors of 39374 and 39381.

Prime Factorization of 39374

Prime Factorization of 39381

Now multiplying the highest exponent prime factors to calculate the LCM of 39374 and 39381.

LCM(39374,39381) = 2¹ × 19687¹ × 3¹ × 13127¹
LCM(39374,39381) = 1550587494