What is the Least Common Multiple of 62600 and 62606?

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 62600 and 62606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62600 and 62606, than apply into the LCM equation.

GCF(62600,62606) = 2
LCM(62600,62606) = ( 62600 × 62606) / 2
LCM(62600,62606) = 3919135600 / 2
LCM(62600,62606) = 1959567800

Least Common Multiple (LCM) of 62600 and 62606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62600 and 62606. First we will calculate the prime factors of 62600 and 62606.

Prime Factorization of 62600

Prime Factorization of 62606

Now multiplying the highest exponent prime factors to calculate the LCM of 62600 and 62606.

LCM(62600,62606) = 2³ × 5² × 313¹ × 23¹ × 1361¹
LCM(62600,62606) = 1959567800