What is the Least Common Multiple of 67800 and 67809?

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 67800 and 67809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67800 and 67809, than apply into the LCM equation.

GCF(67800,67809) = 3
LCM(67800,67809) = ( 67800 × 67809) / 3
LCM(67800,67809) = 4597450200 / 3
LCM(67800,67809) = 1532483400

Least Common Multiple (LCM) of 67800 and 67809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67800 and 67809. First we will calculate the prime factors of 67800 and 67809.

Prime Factorization of 67800

Prime Factorization of 67809

Now multiplying the highest exponent prime factors to calculate the LCM of 67800 and 67809.

LCM(67800,67809) = 2³ × 3¹ × 5² × 113¹ × 7¹ × 3229¹
LCM(67800,67809) = 1532483400