What is the Least Common Multiple of 86919 and 86933?

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 86919 and 86933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86919 and 86933, than apply into the LCM equation.

GCF(86919,86933) = 7
LCM(86919,86933) = ( 86919 × 86933) / 7
LCM(86919,86933) = 7556129427 / 7
LCM(86919,86933) = 1079447061

Least Common Multiple (LCM) of 86919 and 86933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86919 and 86933. First we will calculate the prime factors of 86919 and 86933.

Prime Factorization of 86919

Prime Factorization of 86933

Now multiplying the highest exponent prime factors to calculate the LCM of 86919 and 86933.

LCM(86919,86933) = 3¹ × 7¹ × 4139¹ × 11¹ × 1129¹
LCM(86919,86933) = 1079447061