What is the Least Common Multiple of 86920 and 86935?

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 86920 and 86935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86920 and 86935, than apply into the LCM equation.

GCF(86920,86935) = 5
LCM(86920,86935) = ( 86920 × 86935) / 5
LCM(86920,86935) = 7556390200 / 5
LCM(86920,86935) = 1511278040

Least Common Multiple (LCM) of 86920 and 86935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86920 and 86935. First we will calculate the prime factors of 86920 and 86935.

Prime Factorization of 86920

Prime Factorization of 86935

Now multiplying the highest exponent prime factors to calculate the LCM of 86920 and 86935.

LCM(86920,86935) = 2³ × 5¹ × 41¹ × 53¹ × 17387¹
LCM(86920,86935) = 1511278040