What is the Least Common Multiple of 55685 and 55700?

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 55685 and 55700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55685 and 55700, than apply into the LCM equation.

GCF(55685,55700) = 5
LCM(55685,55700) = ( 55685 × 55700) / 5
LCM(55685,55700) = 3101654500 / 5
LCM(55685,55700) = 620330900

Least Common Multiple (LCM) of 55685 and 55700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55685 and 55700. First we will calculate the prime factors of 55685 and 55700.

Prime Factorization of 55685

Prime Factorization of 55700

Now multiplying the highest exponent prime factors to calculate the LCM of 55685 and 55700.

LCM(55685,55700) = 5² × 7¹ × 37¹ × 43¹ × 2² × 557¹
LCM(55685,55700) = 620330900