What is the Least Common Multiple of 59193 and 59211?

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 59193 and 59211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59193 and 59211, than apply into the LCM equation.

GCF(59193,59211) = 9
LCM(59193,59211) = ( 59193 × 59211) / 9
LCM(59193,59211) = 3504876723 / 9
LCM(59193,59211) = 389430747

Least Common Multiple (LCM) of 59193 and 59211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59193 and 59211. First we will calculate the prime factors of 59193 and 59211.

Prime Factorization of 59193

Prime Factorization of 59211

Now multiplying the highest exponent prime factors to calculate the LCM of 59193 and 59211.

LCM(59193,59211) = 3⁴ × 6577¹ × 17¹ × 43¹
LCM(59193,59211) = 389430747