What is the Least Common Multiple of 62213 and 62225?

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 62213 and 62225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62213 and 62225, than apply into the LCM equation.

GCF(62213,62225) = 1
LCM(62213,62225) = ( 62213 × 62225) / 1
LCM(62213,62225) = 3871203925 / 1
LCM(62213,62225) = 3871203925

Least Common Multiple (LCM) of 62213 and 62225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62213 and 62225. First we will calculate the prime factors of 62213 and 62225.

Prime Factorization of 62213

Prime Factorization of 62225

Now multiplying the highest exponent prime factors to calculate the LCM of 62213 and 62225.

LCM(62213,62225) = 62213¹ × 5² × 19¹ × 131¹
LCM(62213,62225) = 3871203925