What is the Least Common Multiple of 67365 and 67380?

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 67365 and 67380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67365 and 67380, than apply into the LCM equation.

GCF(67365,67380) = 15
LCM(67365,67380) = ( 67365 × 67380) / 15
LCM(67365,67380) = 4539053700 / 15
LCM(67365,67380) = 302603580

Least Common Multiple (LCM) of 67365 and 67380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67365 and 67380. First we will calculate the prime factors of 67365 and 67380.

Prime Factorization of 67365

Prime Factorization of 67380

Now multiplying the highest exponent prime factors to calculate the LCM of 67365 and 67380.

LCM(67365,67380) = 3³ × 5¹ × 499¹ × 2² × 1123¹
LCM(67365,67380) = 302603580