What is the Least Common Multiple of 91971 and 91990?

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 91990 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 91990, than apply into the LCM equation.

GCF(91971,91990) = 1
LCM(91971,91990) = ( 91971 × 91990) / 1
LCM(91971,91990) = 8460412290 / 1
LCM(91971,91990) = 8460412290

Least Common Multiple (LCM) of 91971 and 91990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91971 and 91990. First we will calculate the prime factors of 91971 and 91990.

Prime Factorization of 91971

Prime Factorization of 91990

Now multiplying the highest exponent prime factors to calculate the LCM of 91971 and 91990.

LCM(91971,91990) = 3² × 11¹ × 929¹ × 2¹ × 5¹ × 9199¹
LCM(91971,91990) = 8460412290