What is the Least Common Multiple of 91049 and 91066?

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 91049 and 91066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91049 and 91066, than apply into the LCM equation.

GCF(91049,91066) = 1
LCM(91049,91066) = ( 91049 × 91066) / 1
LCM(91049,91066) = 8291468234 / 1
LCM(91049,91066) = 8291468234

Least Common Multiple (LCM) of 91049 and 91066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91049 and 91066. First we will calculate the prime factors of 91049 and 91066.

Prime Factorization of 91049

Prime Factorization of 91066

Now multiplying the highest exponent prime factors to calculate the LCM of 91049 and 91066.

LCM(91049,91066) = 7¹ × 13007¹ × 2¹ × 45533¹
LCM(91049,91066) = 8291468234