What is the Least Common Multiple of 96930 and 96947?

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 96930 and 96947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96930 and 96947, than apply into the LCM equation.

GCF(96930,96947) = 1
LCM(96930,96947) = ( 96930 × 96947) / 1
LCM(96930,96947) = 9397072710 / 1
LCM(96930,96947) = 9397072710

Least Common Multiple (LCM) of 96930 and 96947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96930 and 96947. First we will calculate the prime factors of 96930 and 96947.

Prime Factorization of 96930

Prime Factorization of 96947

Now multiplying the highest exponent prime factors to calculate the LCM of 96930 and 96947.

LCM(96930,96947) = 2¹ × 3³ × 5¹ × 359¹ × 29¹ × 3343¹
LCM(96930,96947) = 9397072710