What is the Least Common Multiple of 91341 and 91349?

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 91341 and 91349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91341 and 91349, than apply into the LCM equation.

GCF(91341,91349) = 1
LCM(91341,91349) = ( 91341 × 91349) / 1
LCM(91341,91349) = 8343909009 / 1
LCM(91341,91349) = 8343909009

Least Common Multiple (LCM) of 91341 and 91349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91341 and 91349. First we will calculate the prime factors of 91341 and 91349.

Prime Factorization of 91341

Prime Factorization of 91349

Now multiplying the highest exponent prime factors to calculate the LCM of 91341 and 91349.

LCM(91341,91349) = 3³ × 17¹ × 199¹ × 167¹ × 547¹
LCM(91341,91349) = 8343909009