What is the Least Common Multiple of 52673 and 52689?

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 52673 and 52689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52673 and 52689, than apply into the LCM equation.

GCF(52673,52689) = 1
LCM(52673,52689) = ( 52673 × 52689) / 1
LCM(52673,52689) = 2775287697 / 1
LCM(52673,52689) = 2775287697

Least Common Multiple (LCM) of 52673 and 52689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52673 and 52689. First we will calculate the prime factors of 52673 and 52689.

Prime Factorization of 52673

Prime Factorization of 52689

Now multiplying the highest exponent prime factors to calculate the LCM of 52673 and 52689.

LCM(52673,52689) = 52673¹ × 3¹ × 7¹ × 13¹ × 193¹
LCM(52673,52689) = 2775287697