What is the Least Common Multiple of 86934 and 86947?

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 86934 and 86947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86934 and 86947, than apply into the LCM equation.

GCF(86934,86947) = 1
LCM(86934,86947) = ( 86934 × 86947) / 1
LCM(86934,86947) = 7558650498 / 1
LCM(86934,86947) = 7558650498

Least Common Multiple (LCM) of 86934 and 86947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86934 and 86947. First we will calculate the prime factors of 86934 and 86947.

Prime Factorization of 86934

Prime Factorization of 86947

Now multiplying the highest exponent prime factors to calculate the LCM of 86934 and 86947.

LCM(86934,86947) = 2¹ × 3¹ × 14489¹ × 7¹ × 12421¹
LCM(86934,86947) = 7558650498