What is the Least Common Multiple of 62205 and 62223?

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 62205 and 62223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62205 and 62223, than apply into the LCM equation.

GCF(62205,62223) = 3
LCM(62205,62223) = ( 62205 × 62223) / 3
LCM(62205,62223) = 3870581715 / 3
LCM(62205,62223) = 1290193905

Least Common Multiple (LCM) of 62205 and 62223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62205 and 62223. First we will calculate the prime factors of 62205 and 62223.

Prime Factorization of 62205

Prime Factorization of 62223

Now multiplying the highest exponent prime factors to calculate the LCM of 62205 and 62223.

LCM(62205,62223) = 3¹ × 5¹ × 11¹ × 13¹ × 29¹ × 7¹ × 2963¹
LCM(62205,62223) = 1290193905