What is the Least Common Multiple of 99547 and 99561?

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 99547 and 99561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99547 and 99561, than apply into the LCM equation.

GCF(99547,99561) = 7
LCM(99547,99561) = ( 99547 × 99561) / 7
LCM(99547,99561) = 9910998867 / 7
LCM(99547,99561) = 1415856981

Least Common Multiple (LCM) of 99547 and 99561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99547 and 99561. First we will calculate the prime factors of 99547 and 99561.

Prime Factorization of 99547

Prime Factorization of 99561

Now multiplying the highest exponent prime factors to calculate the LCM of 99547 and 99561.

LCM(99547,99561) = 7¹ × 14221¹ × 3¹ × 11¹ × 431¹
LCM(99547,99561) = 1415856981