What is the Least Common Multiple of 45524 and 45543?

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 45524 and 45543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45524 and 45543, than apply into the LCM equation.

GCF(45524,45543) = 19
LCM(45524,45543) = ( 45524 × 45543) / 19
LCM(45524,45543) = 2073299532 / 19
LCM(45524,45543) = 109121028

Least Common Multiple (LCM) of 45524 and 45543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45524 and 45543. First we will calculate the prime factors of 45524 and 45543.

Prime Factorization of 45524

Prime Factorization of 45543

Now multiplying the highest exponent prime factors to calculate the LCM of 45524 and 45543.

LCM(45524,45543) = 2² × 19¹ × 599¹ × 3¹ × 17¹ × 47¹
LCM(45524,45543) = 109121028