What is the Least Common Multiple of 45678 and 45693?

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 45678 and 45693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45678 and 45693, than apply into the LCM equation.

GCF(45678,45693) = 3
LCM(45678,45693) = ( 45678 × 45693) / 3
LCM(45678,45693) = 2087164854 / 3
LCM(45678,45693) = 695721618

Least Common Multiple (LCM) of 45678 and 45693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45678 and 45693. First we will calculate the prime factors of 45678 and 45693.

Prime Factorization of 45678

Prime Factorization of 45693

Now multiplying the highest exponent prime factors to calculate the LCM of 45678 and 45693.

LCM(45678,45693) = 2¹ × 3² × 23¹ × 331¹ × 5077¹
LCM(45678,45693) = 695721618