What is the Least Common Multiple of 91956 and 91961?

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 91956 and 91961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91956 and 91961, than apply into the LCM equation.

GCF(91956,91961) = 1
LCM(91956,91961) = ( 91956 × 91961) / 1
LCM(91956,91961) = 8456365716 / 1
LCM(91956,91961) = 8456365716

Least Common Multiple (LCM) of 91956 and 91961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91956 and 91961. First we will calculate the prime factors of 91956 and 91961.

Prime Factorization of 91956

Prime Factorization of 91961

Now multiplying the highest exponent prime factors to calculate the LCM of 91956 and 91961.

LCM(91956,91961) = 2² × 3¹ × 79¹ × 97¹ × 91961¹
LCM(91956,91961) = 8456365716