What is the Least Common Multiple of 9940 and 9947?

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 9940 and 9947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9940 and 9947, than apply into the LCM equation.

GCF(9940,9947) = 7
LCM(9940,9947) = ( 9940 × 9947) / 7
LCM(9940,9947) = 98873180 / 7
LCM(9940,9947) = 14124740

Least Common Multiple (LCM) of 9940 and 9947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9940 and 9947. First we will calculate the prime factors of 9940 and 9947.

Prime Factorization of 9940

Prime Factorization of 9947

Now multiplying the highest exponent prime factors to calculate the LCM of 9940 and 9947.

LCM(9940,9947) = 2² × 5¹ × 7³ × 71¹ × 29¹
LCM(9940,9947) = 14124740