What is the Least Common Multiple of 86940 and 86958?

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 86940 and 86958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86940 and 86958, than apply into the LCM equation.

GCF(86940,86958) = 18
LCM(86940,86958) = ( 86940 × 86958) / 18
LCM(86940,86958) = 7560128520 / 18
LCM(86940,86958) = 420007140

Least Common Multiple (LCM) of 86940 and 86958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86940 and 86958. First we will calculate the prime factors of 86940 and 86958.

Prime Factorization of 86940

Prime Factorization of 86958

Now multiplying the highest exponent prime factors to calculate the LCM of 86940 and 86958.

LCM(86940,86958) = 2² × 3³ × 5¹ × 7¹ × 23¹ × 4831¹
LCM(86940,86958) = 420007140