GCF and LCM Calculator Logo

What is the Least Common Multiple of 91861 and 91872?

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 (LCM) of 91861 and 91872 is 767223072.

LCM(91861,91872) = 767223072

LCM Calculator and
and

Least Common Multiple of 91861 and 91872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91861 and 91872, than apply into the LCM equation.

GCF(91861,91872) = 11
LCM(91861,91872) = ( 91861 × 91872) / 11
LCM(91861,91872) = 8439453792 / 11
LCM(91861,91872) = 767223072

Least Common Multiple (LCM) of 91861 and 91872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91861 and 91872. First we will calculate the prime factors of 91861 and 91872.

Prime Factorization of 91861

Prime factors of 91861 are 7, 11, 1193. Prime factorization of 91861 in exponential form is:

91861 = 71 × 111 × 11931

Prime Factorization of 91872

Prime factors of 91872 are 2, 3, 11, 29. Prime factorization of 91872 in exponential form is:

91872 = 25 × 32 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 91861 and 91872.

LCM(91861,91872) = 71 × 111 × 11931 × 25 × 32 × 291
LCM(91861,91872) = 767223072