What is the Least Common Multiple of 52204 and 52214?

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 52204 and 52214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52204 and 52214, than apply into the LCM equation.

GCF(52204,52214) = 2
LCM(52204,52214) = ( 52204 × 52214) / 2
LCM(52204,52214) = 2725779656 / 2
LCM(52204,52214) = 1362889828

Least Common Multiple (LCM) of 52204 and 52214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52204 and 52214. First we will calculate the prime factors of 52204 and 52214.

Prime Factorization of 52204

Prime Factorization of 52214

Now multiplying the highest exponent prime factors to calculate the LCM of 52204 and 52214.

LCM(52204,52214) = 2² × 31¹ × 421¹ × 26107¹
LCM(52204,52214) = 1362889828