What is the Least Common Multiple of 9945 and 9955?

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 9955 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 9955, than apply into the LCM equation.

GCF(9945,9955) = 5
LCM(9945,9955) = ( 9945 × 9955) / 5
LCM(9945,9955) = 99002475 / 5
LCM(9945,9955) = 19800495

Least Common Multiple (LCM) of 9945 and 9955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9945 and 9955. First we will calculate the prime factors of 9945 and 9955.

Prime Factorization of 9945

Prime Factorization of 9955

Now multiplying the highest exponent prime factors to calculate the LCM of 9945 and 9955.

LCM(9945,9955) = 3² × 5¹ × 13¹ × 17¹ × 11¹ × 181¹
LCM(9945,9955) = 19800495