What is the Least Common Multiple of 9975 and 9994?

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 9975 and 9994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9975 and 9994, than apply into the LCM equation.

GCF(9975,9994) = 19
LCM(9975,9994) = ( 9975 × 9994) / 19
LCM(9975,9994) = 99690150 / 19
LCM(9975,9994) = 5246850

Least Common Multiple (LCM) of 9975 and 9994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9975 and 9994. First we will calculate the prime factors of 9975 and 9994.

Prime Factorization of 9975

Prime Factorization of 9994

Now multiplying the highest exponent prime factors to calculate the LCM of 9975 and 9994.

LCM(9975,9994) = 3¹ × 5² × 7¹ × 19¹ × 2¹ × 263¹
LCM(9975,9994) = 5246850