What is the Least Common Multiple of 91190 and 91201?

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 91190 and 91201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91190 and 91201, than apply into the LCM equation.

GCF(91190,91201) = 11
LCM(91190,91201) = ( 91190 × 91201) / 11
LCM(91190,91201) = 8316619190 / 11
LCM(91190,91201) = 756056290

Least Common Multiple (LCM) of 91190 and 91201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91190 and 91201. First we will calculate the prime factors of 91190 and 91201.

Prime Factorization of 91190

Prime Factorization of 91201

Now multiplying the highest exponent prime factors to calculate the LCM of 91190 and 91201.

LCM(91190,91201) = 2¹ × 5¹ × 11¹ × 829¹ × 8291¹
LCM(91190,91201) = 756056290