What is the Least Common Multiple of 9945 and 9962?

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 9945 and 9962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9945 and 9962, than apply into the LCM equation.

GCF(9945,9962) = 17
LCM(9945,9962) = ( 9945 × 9962) / 17
LCM(9945,9962) = 99072090 / 17
LCM(9945,9962) = 5827770

Least Common Multiple (LCM) of 9945 and 9962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9945 and 9962. First we will calculate the prime factors of 9945 and 9962.

Prime Factorization of 9945

Prime Factorization of 9962

Now multiplying the highest exponent prime factors to calculate the LCM of 9945 and 9962.

LCM(9945,9962) = 3² × 5¹ × 13¹ × 17¹ × 2¹ × 293¹
LCM(9945,9962) = 5827770