What is the Least Common Multiple of 9950 and 9965?

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 9950 and 9965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9950 and 9965, than apply into the LCM equation.

GCF(9950,9965) = 5
LCM(9950,9965) = ( 9950 × 9965) / 5
LCM(9950,9965) = 99151750 / 5
LCM(9950,9965) = 19830350

Least Common Multiple (LCM) of 9950 and 9965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9950 and 9965. First we will calculate the prime factors of 9950 and 9965.

Prime Factorization of 9950

Prime Factorization of 9965

Now multiplying the highest exponent prime factors to calculate the LCM of 9950 and 9965.

LCM(9950,9965) = 2¹ × 5² × 199¹ × 1993¹
LCM(9950,9965) = 19830350