What is the Least Common Multiple of 40705 and 40724?

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 40705 and 40724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40705 and 40724, than apply into the LCM equation.

GCF(40705,40724) = 1
LCM(40705,40724) = ( 40705 × 40724) / 1
LCM(40705,40724) = 1657670420 / 1
LCM(40705,40724) = 1657670420

Least Common Multiple (LCM) of 40705 and 40724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40705 and 40724. First we will calculate the prime factors of 40705 and 40724.

Prime Factorization of 40705

Prime Factorization of 40724

Now multiplying the highest exponent prime factors to calculate the LCM of 40705 and 40724.

LCM(40705,40724) = 5¹ × 7¹ × 1163¹ × 2² × 10181¹
LCM(40705,40724) = 1657670420