What is the Least Common Multiple of 91443 and 91460?

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 91443 and 91460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91443 and 91460, than apply into the LCM equation.

GCF(91443,91460) = 17
LCM(91443,91460) = ( 91443 × 91460) / 17
LCM(91443,91460) = 8363376780 / 17
LCM(91443,91460) = 491963340

Least Common Multiple (LCM) of 91443 and 91460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91443 and 91460. First we will calculate the prime factors of 91443 and 91460.

Prime Factorization of 91443

Prime Factorization of 91460

Now multiplying the highest exponent prime factors to calculate the LCM of 91443 and 91460.

LCM(91443,91460) = 3¹ × 11¹ × 17¹ × 163¹ × 2² × 5¹ × 269¹
LCM(91443,91460) = 491963340