What is the Least Common Multiple of 55623 and 55629?

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 55623 and 55629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55623 and 55629, than apply into the LCM equation.

GCF(55623,55629) = 3
LCM(55623,55629) = ( 55623 × 55629) / 3
LCM(55623,55629) = 3094251867 / 3
LCM(55623,55629) = 1031417289

Least Common Multiple (LCM) of 55623 and 55629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55623 and 55629. First we will calculate the prime factors of 55623 and 55629.

Prime Factorization of 55623

Prime Factorization of 55629

Now multiplying the highest exponent prime factors to calculate the LCM of 55623 and 55629.

LCM(55623,55629) = 3² × 18541¹ × 7¹ × 883¹
LCM(55623,55629) = 1031417289