What is the Least Common Multiple of 99546 and 99557?

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 99546 and 99557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99546 and 99557, than apply into the LCM equation.

GCF(99546,99557) = 1
LCM(99546,99557) = ( 99546 × 99557) / 1
LCM(99546,99557) = 9910501122 / 1
LCM(99546,99557) = 9910501122

Least Common Multiple (LCM) of 99546 and 99557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99546 and 99557. First we will calculate the prime factors of 99546 and 99557.

Prime Factorization of 99546

Prime Factorization of 99557

Now multiplying the highest exponent prime factors to calculate the LCM of 99546 and 99557.

LCM(99546,99557) = 2¹ × 3¹ × 47¹ × 353¹ × 29¹ × 3433¹
LCM(99546,99557) = 9910501122