What is the Least Common Multiple of 67380 and 67395?

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 67380 and 67395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67380 and 67395, than apply into the LCM equation.

GCF(67380,67395) = 15
LCM(67380,67395) = ( 67380 × 67395) / 15
LCM(67380,67395) = 4541075100 / 15
LCM(67380,67395) = 302738340

Least Common Multiple (LCM) of 67380 and 67395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67380 and 67395. First we will calculate the prime factors of 67380 and 67395.

Prime Factorization of 67380

Prime Factorization of 67395

Now multiplying the highest exponent prime factors to calculate the LCM of 67380 and 67395.

LCM(67380,67395) = 2² × 3¹ × 5¹ × 1123¹ × 4493¹
LCM(67380,67395) = 302738340