What is the Least Common Multiple of 99659 and 99677?

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 99659 and 99677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99659 and 99677, than apply into the LCM equation.

GCF(99659,99677) = 1
LCM(99659,99677) = ( 99659 × 99677) / 1
LCM(99659,99677) = 9933710143 / 1
LCM(99659,99677) = 9933710143

Least Common Multiple (LCM) of 99659 and 99677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99659 and 99677. First we will calculate the prime factors of 99659 and 99677.

Prime Factorization of 99659

Prime Factorization of 99677

Now multiplying the highest exponent prime factors to calculate the LCM of 99659 and 99677.

LCM(99659,99677) = 7¹ × 23¹ × 619¹ × 263¹ × 379¹
LCM(99659,99677) = 9933710143