What is the Least Common Multiple of 52189 and 52201?

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 52189 and 52201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52189 and 52201, than apply into the LCM equation.

GCF(52189,52201) = 1
LCM(52189,52201) = ( 52189 × 52201) / 1
LCM(52189,52201) = 2724317989 / 1
LCM(52189,52201) = 2724317989

Least Common Multiple (LCM) of 52189 and 52201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52189 and 52201. First we will calculate the prime factors of 52189 and 52201.

Prime Factorization of 52189

Prime Factorization of 52201

Now multiplying the highest exponent prime factors to calculate the LCM of 52189 and 52201.

LCM(52189,52201) = 52189¹ × 52201¹
LCM(52189,52201) = 2724317989