What is the Least Common Multiple of 62225 and 62233?

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 62225 and 62233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62225 and 62233, than apply into the LCM equation.

GCF(62225,62233) = 1
LCM(62225,62233) = ( 62225 × 62233) / 1
LCM(62225,62233) = 3872448425 / 1
LCM(62225,62233) = 3872448425

Least Common Multiple (LCM) of 62225 and 62233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62225 and 62233. First we will calculate the prime factors of 62225 and 62233.

Prime Factorization of 62225

Prime Factorization of 62233

Now multiplying the highest exponent prime factors to calculate the LCM of 62225 and 62233.

LCM(62225,62233) = 5² × 19¹ × 131¹ × 62233¹
LCM(62225,62233) = 3872448425