What is the Least Common Multiple of 39345 and 39350?

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 39345 and 39350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39345 and 39350, than apply into the LCM equation.

GCF(39345,39350) = 5
LCM(39345,39350) = ( 39345 × 39350) / 5
LCM(39345,39350) = 1548225750 / 5
LCM(39345,39350) = 309645150

Least Common Multiple (LCM) of 39345 and 39350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39345 and 39350. First we will calculate the prime factors of 39345 and 39350.

Prime Factorization of 39345

Prime Factorization of 39350

Now multiplying the highest exponent prime factors to calculate the LCM of 39345 and 39350.

LCM(39345,39350) = 3¹ × 5² × 43¹ × 61¹ × 2¹ × 787¹
LCM(39345,39350) = 309645150