What is the Least Common Multiple of 86905 and 86910?

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 86905 and 86910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86905 and 86910, than apply into the LCM equation.

GCF(86905,86910) = 5
LCM(86905,86910) = ( 86905 × 86910) / 5
LCM(86905,86910) = 7552913550 / 5
LCM(86905,86910) = 1510582710

Least Common Multiple (LCM) of 86905 and 86910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86905 and 86910. First we will calculate the prime factors of 86905 and 86910.

Prime Factorization of 86905

Prime Factorization of 86910

Now multiplying the highest exponent prime factors to calculate the LCM of 86905 and 86910.

LCM(86905,86910) = 5¹ × 7¹ × 13¹ × 191¹ × 2¹ × 3¹ × 2897¹
LCM(86905,86910) = 1510582710