What is the Least Common Multiple of 62238 and 62257?

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 62238 and 62257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62238 and 62257, than apply into the LCM equation.

GCF(62238,62257) = 1
LCM(62238,62257) = ( 62238 × 62257) / 1
LCM(62238,62257) = 3874751166 / 1
LCM(62238,62257) = 3874751166

Least Common Multiple (LCM) of 62238 and 62257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62238 and 62257. First we will calculate the prime factors of 62238 and 62257.

Prime Factorization of 62238

Prime Factorization of 62257

Now multiplying the highest exponent prime factors to calculate the LCM of 62238 and 62257.

LCM(62238,62257) = 2¹ × 3¹ × 11¹ × 23¹ × 41¹ × 13¹ × 4789¹
LCM(62238,62257) = 3874751166