What is the Least Common Multiple of 53198 and 53212?

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 53198 and 53212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53198 and 53212, than apply into the LCM equation.

GCF(53198,53212) = 2
LCM(53198,53212) = ( 53198 × 53212) / 2
LCM(53198,53212) = 2830771976 / 2
LCM(53198,53212) = 1415385988

Least Common Multiple (LCM) of 53198 and 53212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53198 and 53212. First we will calculate the prime factors of 53198 and 53212.

Prime Factorization of 53198

Prime Factorization of 53212

Now multiplying the highest exponent prime factors to calculate the LCM of 53198 and 53212.

LCM(53198,53212) = 2² × 67¹ × 397¹ × 53¹ × 251¹
LCM(53198,53212) = 1415385988