What is the Least Common Multiple of 39234 and 39246?

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 39234 and 39246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39234 and 39246, than apply into the LCM equation.

GCF(39234,39246) = 6
LCM(39234,39246) = ( 39234 × 39246) / 6
LCM(39234,39246) = 1539777564 / 6
LCM(39234,39246) = 256629594

Least Common Multiple (LCM) of 39234 and 39246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39234 and 39246. First we will calculate the prime factors of 39234 and 39246.

Prime Factorization of 39234

Prime Factorization of 39246

Now multiplying the highest exponent prime factors to calculate the LCM of 39234 and 39246.

LCM(39234,39246) = 2¹ × 3¹ × 13¹ × 503¹ × 31¹ × 211¹
LCM(39234,39246) = 256629594