What is the Least Common Multiple of 91564 and 91583?

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 91564 and 91583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91564 and 91583, than apply into the LCM equation.

GCF(91564,91583) = 1
LCM(91564,91583) = ( 91564 × 91583) / 1
LCM(91564,91583) = 8385705812 / 1
LCM(91564,91583) = 8385705812

Least Common Multiple (LCM) of 91564 and 91583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91564 and 91583. First we will calculate the prime factors of 91564 and 91583.

Prime Factorization of 91564

Prime Factorization of 91583

Now multiplying the highest exponent prime factors to calculate the LCM of 91564 and 91583.

LCM(91564,91583) = 2² × 11¹ × 2081¹ × 91583¹
LCM(91564,91583) = 8385705812