What is the Least Common Multiple of 61623 and 61629?

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 61623 and 61629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61623 and 61629, than apply into the LCM equation.

GCF(61623,61629) = 3
LCM(61623,61629) = ( 61623 × 61629) / 3
LCM(61623,61629) = 3797763867 / 3
LCM(61623,61629) = 1265921289

Least Common Multiple (LCM) of 61623 and 61629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61623 and 61629. First we will calculate the prime factors of 61623 and 61629.

Prime Factorization of 61623

Prime Factorization of 61629

Now multiplying the highest exponent prime factors to calculate the LCM of 61623 and 61629.

LCM(61623,61629) = 3² × 41¹ × 167¹ × 20543¹
LCM(61623,61629) = 1265921289