What is the Least Common Multiple of 62104 and 62122?

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 62104 and 62122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62104 and 62122, than apply into the LCM equation.

GCF(62104,62122) = 2
LCM(62104,62122) = ( 62104 × 62122) / 2
LCM(62104,62122) = 3858024688 / 2
LCM(62104,62122) = 1929012344

Least Common Multiple (LCM) of 62104 and 62122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62104 and 62122. First we will calculate the prime factors of 62104 and 62122.

Prime Factorization of 62104

Prime Factorization of 62122

Now multiplying the highest exponent prime factors to calculate the LCM of 62104 and 62122.

LCM(62104,62122) = 2³ × 7¹ × 1109¹ × 89¹ × 349¹
LCM(62104,62122) = 1929012344