What is the Least Common Multiple of 86924 and 86940?

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 86924 and 86940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86924 and 86940, than apply into the LCM equation.

GCF(86924,86940) = 4
LCM(86924,86940) = ( 86924 × 86940) / 4
LCM(86924,86940) = 7557172560 / 4
LCM(86924,86940) = 1889293140

Least Common Multiple (LCM) of 86924 and 86940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86924 and 86940. First we will calculate the prime factors of 86924 and 86940.

Prime Factorization of 86924

Prime Factorization of 86940

Now multiplying the highest exponent prime factors to calculate the LCM of 86924 and 86940.

LCM(86924,86940) = 2² × 31¹ × 701¹ × 3³ × 5¹ × 7¹ × 23¹
LCM(86924,86940) = 1889293140