What is the Least Common Multiple of 86830 and 86849?

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 86830 and 86849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86830 and 86849, than apply into the LCM equation.

GCF(86830,86849) = 19
LCM(86830,86849) = ( 86830 × 86849) / 19
LCM(86830,86849) = 7541098670 / 19
LCM(86830,86849) = 396899930

Least Common Multiple (LCM) of 86830 and 86849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86830 and 86849. First we will calculate the prime factors of 86830 and 86849.

Prime Factorization of 86830

Prime Factorization of 86849

Now multiplying the highest exponent prime factors to calculate the LCM of 86830 and 86849.

LCM(86830,86849) = 2¹ × 5¹ × 19¹ × 457¹ × 7¹ × 653¹
LCM(86830,86849) = 396899930