What is the Least Common Multiple of 99561 and 99567?

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 99561 and 99567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99561 and 99567, than apply into the LCM equation.

GCF(99561,99567) = 3
LCM(99561,99567) = ( 99561 × 99567) / 3
LCM(99561,99567) = 9912990087 / 3
LCM(99561,99567) = 3304330029

Least Common Multiple (LCM) of 99561 and 99567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99561 and 99567. First we will calculate the prime factors of 99561 and 99567.

Prime Factorization of 99561

Prime Factorization of 99567

Now multiplying the highest exponent prime factors to calculate the LCM of 99561 and 99567.

LCM(99561,99567) = 3² × 7¹ × 11¹ × 431¹ × 13¹ × 23¹ × 37¹
LCM(99561,99567) = 3304330029