What is the Least Common Multiple of 91628 and 91643?

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 91628 and 91643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91628 and 91643, than apply into the LCM equation.

GCF(91628,91643) = 1
LCM(91628,91643) = ( 91628 × 91643) / 1
LCM(91628,91643) = 8397064804 / 1
LCM(91628,91643) = 8397064804

Least Common Multiple (LCM) of 91628 and 91643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91628 and 91643. First we will calculate the prime factors of 91628 and 91643.

Prime Factorization of 91628

Prime Factorization of 91643

Now multiplying the highest exponent prime factors to calculate the LCM of 91628 and 91643.

LCM(91628,91643) = 2² × 22907¹ × 113¹ × 811¹
LCM(91628,91643) = 8397064804