What is the Least Common Multiple of 52198 and 52207?

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 52198 and 52207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52198 and 52207, than apply into the LCM equation.

GCF(52198,52207) = 1
LCM(52198,52207) = ( 52198 × 52207) / 1
LCM(52198,52207) = 2725100986 / 1
LCM(52198,52207) = 2725100986

Least Common Multiple (LCM) of 52198 and 52207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52198 and 52207. First we will calculate the prime factors of 52198 and 52207.

Prime Factorization of 52198

Prime Factorization of 52207

Now multiplying the highest exponent prime factors to calculate the LCM of 52198 and 52207.

LCM(52198,52207) = 2¹ × 26099¹ × 17¹ × 37¹ × 83¹
LCM(52198,52207) = 2725100986