What is the Least Common Multiple of 99474 and 99483?

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 99474 and 99483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99474 and 99483, than apply into the LCM equation.

GCF(99474,99483) = 3
LCM(99474,99483) = ( 99474 × 99483) / 3
LCM(99474,99483) = 9895971942 / 3
LCM(99474,99483) = 3298657314

Least Common Multiple (LCM) of 99474 and 99483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99474 and 99483. First we will calculate the prime factors of 99474 and 99483.

Prime Factorization of 99474

Prime Factorization of 99483

Now multiplying the highest exponent prime factors to calculate the LCM of 99474 and 99483.

LCM(99474,99483) = 2¹ × 3¹ × 59¹ × 281¹ × 33161¹
LCM(99474,99483) = 3298657314