What is the Least Common Multiple of 91472 and 91482?

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 91482 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 91482, than apply into the LCM equation.

GCF(91472,91482) = 2
LCM(91472,91482) = ( 91472 × 91482) / 2
LCM(91472,91482) = 8368041504 / 2
LCM(91472,91482) = 4184020752

Least Common Multiple (LCM) of 91472 and 91482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91472 and 91482. First we will calculate the prime factors of 91472 and 91482.

Prime Factorization of 91472

Prime Factorization of 91482

Now multiplying the highest exponent prime factors to calculate the LCM of 91472 and 91482.

LCM(91472,91482) = 2⁴ × 5717¹ × 3¹ × 79¹ × 193¹
LCM(91472,91482) = 4184020752