What is the Least Common Multiple of 86906 and 86920?

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 86906 and 86920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86906 and 86920, than apply into the LCM equation.

GCF(86906,86920) = 2
LCM(86906,86920) = ( 86906 × 86920) / 2
LCM(86906,86920) = 7553869520 / 2
LCM(86906,86920) = 3776934760

Least Common Multiple (LCM) of 86906 and 86920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86906 and 86920. First we will calculate the prime factors of 86906 and 86920.

Prime Factorization of 86906

Prime Factorization of 86920

Now multiplying the highest exponent prime factors to calculate the LCM of 86906 and 86920.

LCM(86906,86920) = 2³ × 19¹ × 2287¹ × 5¹ × 41¹ × 53¹
LCM(86906,86920) = 3776934760