What is the Least Common Multiple of 99979 and 99998?

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 99979 and 99998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99979 and 99998, than apply into the LCM equation.

GCF(99979,99998) = 1
LCM(99979,99998) = ( 99979 × 99998) / 1
LCM(99979,99998) = 9997700042 / 1
LCM(99979,99998) = 9997700042

Least Common Multiple (LCM) of 99979 and 99998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99979 and 99998. First we will calculate the prime factors of 99979 and 99998.

Prime Factorization of 99979

Prime Factorization of 99998

Now multiplying the highest exponent prime factors to calculate the LCM of 99979 and 99998.

LCM(99979,99998) = 11¹ × 61¹ × 149¹ × 2¹ × 49999¹
LCM(99979,99998) = 9997700042