What is the Least Common Multiple of 99098 and 99102?

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 99098 and 99102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99098 and 99102, than apply into the LCM equation.

GCF(99098,99102) = 2
LCM(99098,99102) = ( 99098 × 99102) / 2
LCM(99098,99102) = 9820809996 / 2
LCM(99098,99102) = 4910404998

Least Common Multiple (LCM) of 99098 and 99102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99098 and 99102. First we will calculate the prime factors of 99098 and 99102.

Prime Factorization of 99098

Prime Factorization of 99102

Now multiplying the highest exponent prime factors to calculate the LCM of 99098 and 99102.

LCM(99098,99102) = 2¹ × 49549¹ × 3¹ × 83¹ × 199¹
LCM(99098,99102) = 4910404998