What is the Least Common Multiple of 9945 and 9961?

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 9961 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 9961, than apply into the LCM equation.

GCF(9945,9961) = 1
LCM(9945,9961) = ( 9945 × 9961) / 1
LCM(9945,9961) = 99062145 / 1
LCM(9945,9961) = 99062145

Least Common Multiple (LCM) of 9945 and 9961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9945 and 9961. First we will calculate the prime factors of 9945 and 9961.

Prime Factorization of 9945

Prime Factorization of 9961

Now multiplying the highest exponent prime factors to calculate the LCM of 9945 and 9961.

LCM(9945,9961) = 3² × 5¹ × 13¹ × 17¹ × 7¹ × 1423¹
LCM(9945,9961) = 99062145