What is the Least Common Multiple of 62193 and 62213?

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 62213 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 62213, than apply into the LCM equation.

GCF(62193,62213) = 1
LCM(62193,62213) = ( 62193 × 62213) / 1
LCM(62193,62213) = 3869213109 / 1
LCM(62193,62213) = 3869213109

Least Common Multiple (LCM) of 62193 and 62213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62193 and 62213. First we will calculate the prime factors of 62193 and 62213.

Prime Factorization of 62193

Prime Factorization of 62213

Now multiplying the highest exponent prime factors to calculate the LCM of 62193 and 62213.

LCM(62193,62213) = 3¹ × 20731¹ × 62213¹
LCM(62193,62213) = 3869213109