GCF and LCM Calculator Logo

What is the Least Common Multiple of 91663 and 91683?

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 (LCM) of 91663 and 91683 is 8403938829.

LCM(91663,91683) = 8403938829

LCM Calculator and
and

Least Common Multiple of 91663 and 91683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91663 and 91683, than apply into the LCM equation.

GCF(91663,91683) = 1
LCM(91663,91683) = ( 91663 × 91683) / 1
LCM(91663,91683) = 8403938829 / 1
LCM(91663,91683) = 8403938829

Least Common Multiple (LCM) of 91663 and 91683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91663 and 91683. First we will calculate the prime factors of 91663 and 91683.

Prime Factorization of 91663

Prime factors of 91663 are 11, 13, 641. Prime factorization of 91663 in exponential form is:

91663 = 111 × 131 × 6411

Prime Factorization of 91683

Prime factors of 91683 are 3, 61, 167. Prime factorization of 91683 in exponential form is:

91683 = 32 × 611 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 91663 and 91683.

LCM(91663,91683) = 111 × 131 × 6411 × 32 × 611 × 1671
LCM(91663,91683) = 8403938829