What is the Least Common Multiple of 39604 and 39614?

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 39604 and 39614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39604 and 39614, than apply into the LCM equation.

GCF(39604,39614) = 2
LCM(39604,39614) = ( 39604 × 39614) / 2
LCM(39604,39614) = 1568872856 / 2
LCM(39604,39614) = 784436428

Least Common Multiple (LCM) of 39604 and 39614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39604 and 39614. First we will calculate the prime factors of 39604 and 39614.

Prime Factorization of 39604

Prime Factorization of 39614

Now multiplying the highest exponent prime factors to calculate the LCM of 39604 and 39614.

LCM(39604,39614) = 2² × 9901¹ × 29¹ × 683¹
LCM(39604,39614) = 784436428