What is the Least Common Multiple of 5971 and 5989?

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 5971 and 5989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5971 and 5989, than apply into the LCM equation.

GCF(5971,5989) = 1
LCM(5971,5989) = ( 5971 × 5989) / 1
LCM(5971,5989) = 35760319 / 1
LCM(5971,5989) = 35760319

Least Common Multiple (LCM) of 5971 and 5989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5971 and 5989. First we will calculate the prime factors of 5971 and 5989.

Prime Factorization of 5971

Prime Factorization of 5989

Now multiplying the highest exponent prime factors to calculate the LCM of 5971 and 5989.

LCM(5971,5989) = 7¹ × 853¹ × 53¹ × 113¹
LCM(5971,5989) = 35760319