What is the Least Common Multiple of 91569 and 91578?

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 91569 and 91578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91569 and 91578, than apply into the LCM equation.

GCF(91569,91578) = 3
LCM(91569,91578) = ( 91569 × 91578) / 3
LCM(91569,91578) = 8385705882 / 3
LCM(91569,91578) = 2795235294

Least Common Multiple (LCM) of 91569 and 91578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91569 and 91578. First we will calculate the prime factors of 91569 and 91578.

Prime Factorization of 91569

Prime Factorization of 91578

Now multiplying the highest exponent prime factors to calculate the LCM of 91569 and 91578.

LCM(91569,91578) = 3¹ × 131¹ × 233¹ × 2¹ × 15263¹
LCM(91569,91578) = 2795235294