What is the Least Common Multiple of 62194 and 62200?

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 62194 and 62200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62194 and 62200, than apply into the LCM equation.

GCF(62194,62200) = 2
LCM(62194,62200) = ( 62194 × 62200) / 2
LCM(62194,62200) = 3868466800 / 2
LCM(62194,62200) = 1934233400

Least Common Multiple (LCM) of 62194 and 62200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62194 and 62200. First we will calculate the prime factors of 62194 and 62200.

Prime Factorization of 62194

Prime Factorization of 62200

Now multiplying the highest exponent prime factors to calculate the LCM of 62194 and 62200.

LCM(62194,62200) = 2³ × 11² × 257¹ × 5² × 311¹
LCM(62194,62200) = 1934233400