What is the Least Common Multiple of 62225 and 62244?

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 62244 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 62244, than apply into the LCM equation.

GCF(62225,62244) = 19
LCM(62225,62244) = ( 62225 × 62244) / 19
LCM(62225,62244) = 3873132900 / 19
LCM(62225,62244) = 203849100

Least Common Multiple (LCM) of 62225 and 62244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62225 and 62244. First we will calculate the prime factors of 62225 and 62244.

Prime Factorization of 62225

Prime Factorization of 62244

Now multiplying the highest exponent prime factors to calculate the LCM of 62225 and 62244.

LCM(62225,62244) = 5² × 19¹ × 131¹ × 2² × 3² × 7¹ × 13¹
LCM(62225,62244) = 203849100