What is the Least Common Multiple of 86824 and 86838?

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 86824 and 86838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86824 and 86838, than apply into the LCM equation.

GCF(86824,86838) = 2
LCM(86824,86838) = ( 86824 × 86838) / 2
LCM(86824,86838) = 7539622512 / 2
LCM(86824,86838) = 3769811256

Least Common Multiple (LCM) of 86824 and 86838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86824 and 86838. First we will calculate the prime factors of 86824 and 86838.

Prime Factorization of 86824

Prime Factorization of 86838

Now multiplying the highest exponent prime factors to calculate the LCM of 86824 and 86838.

LCM(86824,86838) = 2³ × 10853¹ × 3¹ × 41¹ × 353¹
LCM(86824,86838) = 3769811256