What is the Least Common Multiple of 9820 and 9833?

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 9820 and 9833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9820 and 9833, than apply into the LCM equation.

GCF(9820,9833) = 1
LCM(9820,9833) = ( 9820 × 9833) / 1
LCM(9820,9833) = 96560060 / 1
LCM(9820,9833) = 96560060

Least Common Multiple (LCM) of 9820 and 9833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9820 and 9833. First we will calculate the prime factors of 9820 and 9833.

Prime Factorization of 9820

Prime Factorization of 9833

Now multiplying the highest exponent prime factors to calculate the LCM of 9820 and 9833.

LCM(9820,9833) = 2² × 5¹ × 491¹ × 9833¹
LCM(9820,9833) = 96560060