What is the Least Common Multiple of 99351 and 99358?

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 99351 and 99358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99351 and 99358, than apply into the LCM equation.

GCF(99351,99358) = 7
LCM(99351,99358) = ( 99351 × 99358) / 7
LCM(99351,99358) = 9871316658 / 7
LCM(99351,99358) = 1410188094

Least Common Multiple (LCM) of 99351 and 99358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99351 and 99358. First we will calculate the prime factors of 99351 and 99358.

Prime Factorization of 99351

Prime Factorization of 99358

Now multiplying the highest exponent prime factors to calculate the LCM of 99351 and 99358.

LCM(99351,99358) = 3² × 7¹ × 19¹ × 83¹ × 2¹ × 47¹ × 151¹
LCM(99351,99358) = 1410188094