What is the Least Common Multiple of 40905 and 40910?

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 40905 and 40910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40905 and 40910, than apply into the LCM equation.

GCF(40905,40910) = 5
LCM(40905,40910) = ( 40905 × 40910) / 5
LCM(40905,40910) = 1673423550 / 5
LCM(40905,40910) = 334684710

Least Common Multiple (LCM) of 40905 and 40910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40905 and 40910. First we will calculate the prime factors of 40905 and 40910.

Prime Factorization of 40905

Prime Factorization of 40910

Now multiplying the highest exponent prime factors to calculate the LCM of 40905 and 40910.

LCM(40905,40910) = 3⁴ × 5¹ × 101¹ × 2¹ × 4091¹
LCM(40905,40910) = 334684710