What is the Least Common Multiple of 91674 and 91689?

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 91674 and 91689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91674 and 91689, than apply into the LCM equation.

GCF(91674,91689) = 3
LCM(91674,91689) = ( 91674 × 91689) / 3
LCM(91674,91689) = 8405497386 / 3
LCM(91674,91689) = 2801832462

Least Common Multiple (LCM) of 91674 and 91689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91674 and 91689. First we will calculate the prime factors of 91674 and 91689.

Prime Factorization of 91674

Prime Factorization of 91689

Now multiplying the highest exponent prime factors to calculate the LCM of 91674 and 91689.

LCM(91674,91689) = 2¹ × 3² × 11¹ × 463¹ × 13¹ × 2351¹
LCM(91674,91689) = 2801832462