What is the Least Common Multiple of 52685 and 52705?

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 52685 and 52705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52685 and 52705, than apply into the LCM equation.

GCF(52685,52705) = 5
LCM(52685,52705) = ( 52685 × 52705) / 5
LCM(52685,52705) = 2776762925 / 5
LCM(52685,52705) = 555352585

Least Common Multiple (LCM) of 52685 and 52705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52685 and 52705. First we will calculate the prime factors of 52685 and 52705.

Prime Factorization of 52685

Prime Factorization of 52705

Now multiplying the highest exponent prime factors to calculate the LCM of 52685 and 52705.

LCM(52685,52705) = 5¹ × 41¹ × 257¹ × 83¹ × 127¹
LCM(52685,52705) = 555352585