What is the Least Common Multiple of 99720 and 99738?

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 99720 and 99738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99720 and 99738, than apply into the LCM equation.

GCF(99720,99738) = 18
LCM(99720,99738) = ( 99720 × 99738) / 18
LCM(99720,99738) = 9945873360 / 18
LCM(99720,99738) = 552548520

Least Common Multiple (LCM) of 99720 and 99738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99720 and 99738. First we will calculate the prime factors of 99720 and 99738.

Prime Factorization of 99720

Prime Factorization of 99738

Now multiplying the highest exponent prime factors to calculate the LCM of 99720 and 99738.

LCM(99720,99738) = 2³ × 3³ × 5¹ × 277¹ × 1847¹
LCM(99720,99738) = 552548520