What is the Least Common Multiple of 9814 and 9820?

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 9814 and 9820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9814 and 9820, than apply into the LCM equation.

GCF(9814,9820) = 2
LCM(9814,9820) = ( 9814 × 9820) / 2
LCM(9814,9820) = 96373480 / 2
LCM(9814,9820) = 48186740

Least Common Multiple (LCM) of 9814 and 9820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9814 and 9820. First we will calculate the prime factors of 9814 and 9820.

Prime Factorization of 9814

Prime Factorization of 9820

Now multiplying the highest exponent prime factors to calculate the LCM of 9814 and 9820.

LCM(9814,9820) = 2² × 7¹ × 701¹ × 5¹ × 491¹
LCM(9814,9820) = 48186740