What is the Least Common Multiple of 39905 and 39910?

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 39905 and 39910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39905 and 39910, than apply into the LCM equation.

GCF(39905,39910) = 5
LCM(39905,39910) = ( 39905 × 39910) / 5
LCM(39905,39910) = 1592608550 / 5
LCM(39905,39910) = 318521710

Least Common Multiple (LCM) of 39905 and 39910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39905 and 39910. First we will calculate the prime factors of 39905 and 39910.

Prime Factorization of 39905

Prime Factorization of 39910

Now multiplying the highest exponent prime factors to calculate the LCM of 39905 and 39910.

LCM(39905,39910) = 5¹ × 23¹ × 347¹ × 2¹ × 13¹ × 307¹
LCM(39905,39910) = 318521710