What is the Least Common Multiple of 91049 and 91064?

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 91064 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 91064, than apply into the LCM equation.

GCF(91049,91064) = 1
LCM(91049,91064) = ( 91049 × 91064) / 1
LCM(91049,91064) = 8291286136 / 1
LCM(91049,91064) = 8291286136

Least Common Multiple (LCM) of 91049 and 91064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91049 and 91064. First we will calculate the prime factors of 91049 and 91064.

Prime Factorization of 91049

Prime Factorization of 91064

Now multiplying the highest exponent prime factors to calculate the LCM of 91049 and 91064.

LCM(91049,91064) = 7¹ × 13007¹ × 2³ × 11383¹
LCM(91049,91064) = 8291286136