What is the Least Common Multiple of 61788 and 61800?

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 61788 and 61800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61788 and 61800, than apply into the LCM equation.

GCF(61788,61800) = 12
LCM(61788,61800) = ( 61788 × 61800) / 12
LCM(61788,61800) = 3818498400 / 12
LCM(61788,61800) = 318208200

Least Common Multiple (LCM) of 61788 and 61800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61788 and 61800. First we will calculate the prime factors of 61788 and 61800.

Prime Factorization of 61788

Prime Factorization of 61800

Now multiplying the highest exponent prime factors to calculate the LCM of 61788 and 61800.

LCM(61788,61800) = 2³ × 3¹ × 19¹ × 271¹ × 5² × 103¹
LCM(61788,61800) = 318208200