What is the Least Common Multiple of 27971 and 27989?

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 27971 and 27989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27971 and 27989, than apply into the LCM equation.

GCF(27971,27989) = 1
LCM(27971,27989) = ( 27971 × 27989) / 1
LCM(27971,27989) = 782880319 / 1
LCM(27971,27989) = 782880319

Least Common Multiple (LCM) of 27971 and 27989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27971 and 27989. First we will calculate the prime factors of 27971 and 27989.

Prime Factorization of 27971

Prime Factorization of 27989

Now multiplying the highest exponent prime factors to calculate the LCM of 27971 and 27989.

LCM(27971,27989) = 83¹ × 337¹ × 13¹ × 2153¹
LCM(27971,27989) = 782880319