What is the Least Common Multiple of 91956 and 91963?

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 91956 and 91963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91956 and 91963, than apply into the LCM equation.

GCF(91956,91963) = 1
LCM(91956,91963) = ( 91956 × 91963) / 1
LCM(91956,91963) = 8456549628 / 1
LCM(91956,91963) = 8456549628

Least Common Multiple (LCM) of 91956 and 91963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91956 and 91963. First we will calculate the prime factors of 91956 and 91963.

Prime Factorization of 91956

Prime Factorization of 91963

Now multiplying the highest exponent prime factors to calculate the LCM of 91956 and 91963.

LCM(91956,91963) = 2² × 3¹ × 79¹ × 97¹ × 41¹ × 2243¹
LCM(91956,91963) = 8456549628