What is the Least Common Multiple of 39990 and 40010?

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 39990 and 40010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39990 and 40010, than apply into the LCM equation.

GCF(39990,40010) = 10
LCM(39990,40010) = ( 39990 × 40010) / 10
LCM(39990,40010) = 1599999900 / 10
LCM(39990,40010) = 159999990

Least Common Multiple (LCM) of 39990 and 40010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39990 and 40010. First we will calculate the prime factors of 39990 and 40010.

Prime Factorization of 39990

Prime Factorization of 40010

Now multiplying the highest exponent prime factors to calculate the LCM of 39990 and 40010.

LCM(39990,40010) = 2¹ × 3¹ × 5¹ × 31¹ × 43¹ × 4001¹
LCM(39990,40010) = 159999990