What is the Least Common Multiple of 99930 and 99949?

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 99930 and 99949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99930 and 99949, than apply into the LCM equation.

GCF(99930,99949) = 1
LCM(99930,99949) = ( 99930 × 99949) / 1
LCM(99930,99949) = 9987903570 / 1
LCM(99930,99949) = 9987903570

Least Common Multiple (LCM) of 99930 and 99949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99930 and 99949. First we will calculate the prime factors of 99930 and 99949.

Prime Factorization of 99930

Prime Factorization of 99949

Now multiplying the highest exponent prime factors to calculate the LCM of 99930 and 99949.

LCM(99930,99949) = 2¹ × 3¹ × 5¹ × 3331¹ × 127¹ × 787¹
LCM(99930,99949) = 9987903570