What is the Least Common Multiple of 49204 and 49214?

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 49204 and 49214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49204 and 49214, than apply into the LCM equation.

GCF(49204,49214) = 2
LCM(49204,49214) = ( 49204 × 49214) / 2
LCM(49204,49214) = 2421525656 / 2
LCM(49204,49214) = 1210762828

Least Common Multiple (LCM) of 49204 and 49214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49204 and 49214. First we will calculate the prime factors of 49204 and 49214.

Prime Factorization of 49204

Prime Factorization of 49214

Now multiplying the highest exponent prime factors to calculate the LCM of 49204 and 49214.

LCM(49204,49214) = 2² × 12301¹ × 11¹ × 2237¹
LCM(49204,49214) = 1210762828