What is the Least Common Multiple of 91472 and 91492?

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 91472 and 91492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91472 and 91492, than apply into the LCM equation.

GCF(91472,91492) = 4
LCM(91472,91492) = ( 91472 × 91492) / 4
LCM(91472,91492) = 8368956224 / 4
LCM(91472,91492) = 2092239056

Least Common Multiple (LCM) of 91472 and 91492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91472 and 91492. First we will calculate the prime factors of 91472 and 91492.

Prime Factorization of 91472

Prime Factorization of 91492

Now multiplying the highest exponent prime factors to calculate the LCM of 91472 and 91492.

LCM(91472,91492) = 2⁴ × 5717¹ × 89¹ × 257¹
LCM(91472,91492) = 2092239056