What is the Least Common Multiple of 62209 and 62227?

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 62209 and 62227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62209 and 62227, than apply into the LCM equation.

GCF(62209,62227) = 1
LCM(62209,62227) = ( 62209 × 62227) / 1
LCM(62209,62227) = 3871079443 / 1
LCM(62209,62227) = 3871079443

Least Common Multiple (LCM) of 62209 and 62227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62209 and 62227. First we will calculate the prime factors of 62209 and 62227.

Prime Factorization of 62209

Prime Factorization of 62227

Now multiplying the highest exponent prime factors to calculate the LCM of 62209 and 62227.

LCM(62209,62227) = 7¹ × 8887¹ × 11¹ × 5657¹
LCM(62209,62227) = 3871079443