What is the Least Common Multiple of 51689 and 51701?

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 51689 and 51701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51689 and 51701, than apply into the LCM equation.

GCF(51689,51701) = 1
LCM(51689,51701) = ( 51689 × 51701) / 1
LCM(51689,51701) = 2672372989 / 1
LCM(51689,51701) = 2672372989

Least Common Multiple (LCM) of 51689 and 51701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51689 and 51701. First we will calculate the prime factors of 51689 and 51701.

Prime Factorization of 51689

Prime Factorization of 51701

Now multiplying the highest exponent prime factors to calculate the LCM of 51689 and 51701.

LCM(51689,51701) = 11¹ × 37¹ × 127¹ × 13¹ × 41¹ × 97¹
LCM(51689,51701) = 2672372989