What is the Least Common Multiple of 9660 and 9674?

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 9660 and 9674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9660 and 9674, than apply into the LCM equation.

GCF(9660,9674) = 14
LCM(9660,9674) = ( 9660 × 9674) / 14
LCM(9660,9674) = 93450840 / 14
LCM(9660,9674) = 6675060

Least Common Multiple (LCM) of 9660 and 9674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9660 and 9674. First we will calculate the prime factors of 9660 and 9674.

Prime Factorization of 9660

Prime Factorization of 9674

Now multiplying the highest exponent prime factors to calculate the LCM of 9660 and 9674.

LCM(9660,9674) = 2² × 3¹ × 5¹ × 7¹ × 23¹ × 691¹
LCM(9660,9674) = 6675060