What is the Least Common Multiple of 62174 and 62194?

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 62174 and 62194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62174 and 62194, than apply into the LCM equation.

GCF(62174,62194) = 2
LCM(62174,62194) = ( 62174 × 62194) / 2
LCM(62174,62194) = 3866849756 / 2
LCM(62174,62194) = 1933424878

Least Common Multiple (LCM) of 62174 and 62194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62174 and 62194. First we will calculate the prime factors of 62174 and 62194.

Prime Factorization of 62174

Prime Factorization of 62194

Now multiplying the highest exponent prime factors to calculate the LCM of 62174 and 62194.

LCM(62174,62194) = 2¹ × 7¹ × 4441¹ × 11² × 257¹
LCM(62174,62194) = 1933424878