What is the Least Common Multiple of 86856 and 86863?

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 86856 and 86863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86856 and 86863, than apply into the LCM equation.

GCF(86856,86863) = 7
LCM(86856,86863) = ( 86856 × 86863) / 7
LCM(86856,86863) = 7544572728 / 7
LCM(86856,86863) = 1077796104

Least Common Multiple (LCM) of 86856 and 86863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86856 and 86863. First we will calculate the prime factors of 86856 and 86863.

Prime Factorization of 86856

Prime Factorization of 86863

Now multiplying the highest exponent prime factors to calculate the LCM of 86856 and 86863.

LCM(86856,86863) = 2³ × 3¹ × 7¹ × 11¹ × 47¹ × 12409¹
LCM(86856,86863) = 1077796104