What is the Least Common Multiple of 57780 and 57800?

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 57780 and 57800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57780 and 57800, than apply into the LCM equation.

GCF(57780,57800) = 20
LCM(57780,57800) = ( 57780 × 57800) / 20
LCM(57780,57800) = 3339684000 / 20
LCM(57780,57800) = 166984200

Least Common Multiple (LCM) of 57780 and 57800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57780 and 57800. First we will calculate the prime factors of 57780 and 57800.

Prime Factorization of 57780

Prime Factorization of 57800

Now multiplying the highest exponent prime factors to calculate the LCM of 57780 and 57800.

LCM(57780,57800) = 2³ × 3³ × 5² × 107¹ × 17²
LCM(57780,57800) = 166984200