What is the Least Common Multiple of 24527 and 24540?

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 24527 and 24540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24527 and 24540, than apply into the LCM equation.

GCF(24527,24540) = 1
LCM(24527,24540) = ( 24527 × 24540) / 1
LCM(24527,24540) = 601892580 / 1
LCM(24527,24540) = 601892580

Least Common Multiple (LCM) of 24527 and 24540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24527 and 24540. First we will calculate the prime factors of 24527 and 24540.

Prime Factorization of 24527

Prime Factorization of 24540

Now multiplying the highest exponent prime factors to calculate the LCM of 24527 and 24540.

LCM(24527,24540) = 24527¹ × 2² × 3¹ × 5¹ × 409¹
LCM(24527,24540) = 601892580