What is the Least Common Multiple of 7613 and 7623?

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 7613 and 7623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7613 and 7623, than apply into the LCM equation.

GCF(7613,7623) = 1
LCM(7613,7623) = ( 7613 × 7623) / 1
LCM(7613,7623) = 58033899 / 1
LCM(7613,7623) = 58033899

Least Common Multiple (LCM) of 7613 and 7623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7613 and 7623. First we will calculate the prime factors of 7613 and 7623.

Prime Factorization of 7613

Prime Factorization of 7623

Now multiplying the highest exponent prime factors to calculate the LCM of 7613 and 7623.

LCM(7613,7623) = 23¹ × 331¹ × 3² × 7¹ × 11²
LCM(7613,7623) = 58033899