What is the Least Common Multiple of 45603 and 45623?

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 45603 and 45623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45603 and 45623, than apply into the LCM equation.

GCF(45603,45623) = 1
LCM(45603,45623) = ( 45603 × 45623) / 1
LCM(45603,45623) = 2080545669 / 1
LCM(45603,45623) = 2080545669

Least Common Multiple (LCM) of 45603 and 45623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45603 and 45623. First we will calculate the prime factors of 45603 and 45623.

Prime Factorization of 45603

Prime Factorization of 45623

Now multiplying the highest exponent prime factors to calculate the LCM of 45603 and 45623.

LCM(45603,45623) = 3⁴ × 563¹ × 43¹ × 1061¹
LCM(45603,45623) = 2080545669