What is the Least Common Multiple of 9724 and 9740?

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 9724 and 9740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9724 and 9740, than apply into the LCM equation.

GCF(9724,9740) = 4
LCM(9724,9740) = ( 9724 × 9740) / 4
LCM(9724,9740) = 94711760 / 4
LCM(9724,9740) = 23677940

Least Common Multiple (LCM) of 9724 and 9740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9724 and 9740. First we will calculate the prime factors of 9724 and 9740.

Prime Factorization of 9724

Prime Factorization of 9740

Now multiplying the highest exponent prime factors to calculate the LCM of 9724 and 9740.

LCM(9724,9740) = 2² × 11¹ × 13¹ × 17¹ × 5¹ × 487¹
LCM(9724,9740) = 23677940