What is the Least Common Multiple of 90905 and 90910?

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 90905 and 90910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90905 and 90910, than apply into the LCM equation.

GCF(90905,90910) = 5
LCM(90905,90910) = ( 90905 × 90910) / 5
LCM(90905,90910) = 8264173550 / 5
LCM(90905,90910) = 1652834710

Least Common Multiple (LCM) of 90905 and 90910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90905 and 90910. First we will calculate the prime factors of 90905 and 90910.

Prime Factorization of 90905

Prime Factorization of 90910

Now multiplying the highest exponent prime factors to calculate the LCM of 90905 and 90910.

LCM(90905,90910) = 5¹ × 18181¹ × 2¹ × 9091¹
LCM(90905,90910) = 1652834710