What is the Least Common Multiple of 99980 and 99994?

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 99980 and 99994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99980 and 99994, than apply into the LCM equation.

GCF(99980,99994) = 2
LCM(99980,99994) = ( 99980 × 99994) / 2
LCM(99980,99994) = 9997400120 / 2
LCM(99980,99994) = 4998700060

Least Common Multiple (LCM) of 99980 and 99994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99980 and 99994. First we will calculate the prime factors of 99980 and 99994.

Prime Factorization of 99980

Prime Factorization of 99994

Now multiplying the highest exponent prime factors to calculate the LCM of 99980 and 99994.

LCM(99980,99994) = 2² × 5¹ × 4999¹ × 17² × 173¹
LCM(99980,99994) = 4998700060