What is the Least Common Multiple of 45523 and 45540?

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 45523 and 45540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45523 and 45540, than apply into the LCM equation.

GCF(45523,45540) = 1
LCM(45523,45540) = ( 45523 × 45540) / 1
LCM(45523,45540) = 2073117420 / 1
LCM(45523,45540) = 2073117420

Least Common Multiple (LCM) of 45523 and 45540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45523 and 45540. First we will calculate the prime factors of 45523 and 45540.

Prime Factorization of 45523

Prime Factorization of 45540

Now multiplying the highest exponent prime factors to calculate the LCM of 45523 and 45540.

LCM(45523,45540) = 45523¹ × 2² × 3² × 5¹ × 11¹ × 23¹
LCM(45523,45540) = 2073117420