What is the Least Common Multiple of 52689 and 52700?

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 52689 and 52700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52689 and 52700, than apply into the LCM equation.

GCF(52689,52700) = 1
LCM(52689,52700) = ( 52689 × 52700) / 1
LCM(52689,52700) = 2776710300 / 1
LCM(52689,52700) = 2776710300

Least Common Multiple (LCM) of 52689 and 52700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52689 and 52700. First we will calculate the prime factors of 52689 and 52700.

Prime Factorization of 52689

Prime Factorization of 52700

Now multiplying the highest exponent prime factors to calculate the LCM of 52689 and 52700.

LCM(52689,52700) = 3¹ × 7¹ × 13¹ × 193¹ × 2² × 5² × 17¹ × 31¹
LCM(52689,52700) = 2776710300