What is the Least Common Multiple of 73780 and 73800?

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 73780 and 73800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73780 and 73800, than apply into the LCM equation.

GCF(73780,73800) = 20
LCM(73780,73800) = ( 73780 × 73800) / 20
LCM(73780,73800) = 5444964000 / 20
LCM(73780,73800) = 272248200

Least Common Multiple (LCM) of 73780 and 73800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73780 and 73800. First we will calculate the prime factors of 73780 and 73800.

Prime Factorization of 73780

Prime Factorization of 73800

Now multiplying the highest exponent prime factors to calculate the LCM of 73780 and 73800.

LCM(73780,73800) = 2³ × 5² × 7¹ × 17¹ × 31¹ × 3² × 41¹
LCM(73780,73800) = 272248200