What is the Least Common Multiple of 91971 and 91982?

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 91971 and 91982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91971 and 91982, than apply into the LCM equation.

GCF(91971,91982) = 11
LCM(91971,91982) = ( 91971 × 91982) / 11
LCM(91971,91982) = 8459676522 / 11
LCM(91971,91982) = 769061502

Least Common Multiple (LCM) of 91971 and 91982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91971 and 91982. First we will calculate the prime factors of 91971 and 91982.

Prime Factorization of 91971

Prime Factorization of 91982

Now multiplying the highest exponent prime factors to calculate the LCM of 91971 and 91982.

LCM(91971,91982) = 3² × 11¹ × 929¹ × 2¹ × 37¹ × 113¹
LCM(91971,91982) = 769061502