What is the Least Common Multiple of 91905 and 91910?

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 91905 and 91910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91905 and 91910, than apply into the LCM equation.

GCF(91905,91910) = 5
LCM(91905,91910) = ( 91905 × 91910) / 5
LCM(91905,91910) = 8446988550 / 5
LCM(91905,91910) = 1689397710

Least Common Multiple (LCM) of 91905 and 91910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91905 and 91910. First we will calculate the prime factors of 91905 and 91910.

Prime Factorization of 91905

Prime Factorization of 91910

Now multiplying the highest exponent prime factors to calculate the LCM of 91905 and 91910.

LCM(91905,91910) = 3¹ × 5¹ × 11¹ × 557¹ × 2¹ × 7¹ × 13¹ × 101¹
LCM(91905,91910) = 1689397710