What is the Least Common Multiple of 52700 and 52707?

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 52700 and 52707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52700 and 52707, than apply into the LCM equation.

GCF(52700,52707) = 1
LCM(52700,52707) = ( 52700 × 52707) / 1
LCM(52700,52707) = 2777658900 / 1
LCM(52700,52707) = 2777658900

Least Common Multiple (LCM) of 52700 and 52707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52700 and 52707. First we will calculate the prime factors of 52700 and 52707.

Prime Factorization of 52700

Prime Factorization of 52707

Now multiplying the highest exponent prime factors to calculate the LCM of 52700 and 52707.

LCM(52700,52707) = 2² × 5² × 17¹ × 31¹ × 3¹ × 17569¹
LCM(52700,52707) = 2777658900