What is the Least Common Multiple of 99661 and 99673?

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 99661 and 99673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99661 and 99673, than apply into the LCM equation.

GCF(99661,99673) = 1
LCM(99661,99673) = ( 99661 × 99673) / 1
LCM(99661,99673) = 9933510853 / 1
LCM(99661,99673) = 9933510853

Least Common Multiple (LCM) of 99661 and 99673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99661 and 99673. First we will calculate the prime factors of 99661 and 99673.

Prime Factorization of 99661

Prime Factorization of 99673

Now multiplying the highest exponent prime factors to calculate the LCM of 99661 and 99673.

LCM(99661,99673) = 99661¹ × 7¹ × 29¹ × 491¹
LCM(99661,99673) = 9933510853