What is the Least Common Multiple of 55204 and 55214?

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 55204 and 55214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55204 and 55214, than apply into the LCM equation.

GCF(55204,55214) = 2
LCM(55204,55214) = ( 55204 × 55214) / 2
LCM(55204,55214) = 3048033656 / 2
LCM(55204,55214) = 1524016828

Least Common Multiple (LCM) of 55204 and 55214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55204 and 55214. First we will calculate the prime factors of 55204 and 55214.

Prime Factorization of 55204

Prime Factorization of 55214

Now multiplying the highest exponent prime factors to calculate the LCM of 55204 and 55214.

LCM(55204,55214) = 2² × 37¹ × 373¹ × 19¹ × 1453¹
LCM(55204,55214) = 1524016828