What is the Least Common Multiple of 67395 and 67400?

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 67395 and 67400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67395 and 67400, than apply into the LCM equation.

GCF(67395,67400) = 5
LCM(67395,67400) = ( 67395 × 67400) / 5
LCM(67395,67400) = 4542423000 / 5
LCM(67395,67400) = 908484600

Least Common Multiple (LCM) of 67395 and 67400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67395 and 67400. First we will calculate the prime factors of 67395 and 67400.

Prime Factorization of 67395

Prime Factorization of 67400

Now multiplying the highest exponent prime factors to calculate the LCM of 67395 and 67400.

LCM(67395,67400) = 3¹ × 5² × 4493¹ × 2³ × 337¹
LCM(67395,67400) = 908484600