What is the Least Common Multiple of 86773 and 86793?

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 86773 and 86793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86773 and 86793, than apply into the LCM equation.

GCF(86773,86793) = 1
LCM(86773,86793) = ( 86773 × 86793) / 1
LCM(86773,86793) = 7531288989 / 1
LCM(86773,86793) = 7531288989

Least Common Multiple (LCM) of 86773 and 86793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86773 and 86793. First we will calculate the prime factors of 86773 and 86793.

Prime Factorization of 86773

Prime Factorization of 86793

Now multiplying the highest exponent prime factors to calculate the LCM of 86773 and 86793.

LCM(86773,86793) = 19¹ × 4567¹ × 3¹ × 7¹ × 4133¹
LCM(86773,86793) = 7531288989