What is the Least Common Multiple of 40712 and 40730?

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 40712 and 40730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40712 and 40730, than apply into the LCM equation.

GCF(40712,40730) = 2
LCM(40712,40730) = ( 40712 × 40730) / 2
LCM(40712,40730) = 1658199760 / 2
LCM(40712,40730) = 829099880

Least Common Multiple (LCM) of 40712 and 40730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40712 and 40730. First we will calculate the prime factors of 40712 and 40730.

Prime Factorization of 40712

Prime Factorization of 40730

Now multiplying the highest exponent prime factors to calculate the LCM of 40712 and 40730.

LCM(40712,40730) = 2³ × 7¹ × 727¹ × 5¹ × 4073¹
LCM(40712,40730) = 829099880