What is the Least Common Multiple of 62193 and 62203?

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 62193 and 62203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62193 and 62203, than apply into the LCM equation.

GCF(62193,62203) = 1
LCM(62193,62203) = ( 62193 × 62203) / 1
LCM(62193,62203) = 3868591179 / 1
LCM(62193,62203) = 3868591179

Least Common Multiple (LCM) of 62193 and 62203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62193 and 62203. First we will calculate the prime factors of 62193 and 62203.

Prime Factorization of 62193

Prime Factorization of 62203

Now multiplying the highest exponent prime factors to calculate the LCM of 62193 and 62203.

LCM(62193,62203) = 3¹ × 20731¹ × 17¹ × 3659¹
LCM(62193,62203) = 3868591179