What is the Least Common Multiple of 65971 and 65989?

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 65971 and 65989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65971 and 65989, than apply into the LCM equation.

GCF(65971,65989) = 1
LCM(65971,65989) = ( 65971 × 65989) / 1
LCM(65971,65989) = 4353360319 / 1
LCM(65971,65989) = 4353360319

Least Common Multiple (LCM) of 65971 and 65989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65971 and 65989. First we will calculate the prime factors of 65971 and 65989.

Prime Factorization of 65971

Prime Factorization of 65989

Now multiplying the highest exponent prime factors to calculate the LCM of 65971 and 65989.

LCM(65971,65989) = 37¹ × 1783¹ × 7¹ × 11¹ × 857¹
LCM(65971,65989) = 4353360319