What is the Least Common Multiple of 67380 and 67385?

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 67385 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 67385, than apply into the LCM equation.

GCF(67380,67385) = 5
LCM(67380,67385) = ( 67380 × 67385) / 5
LCM(67380,67385) = 4540401300 / 5
LCM(67380,67385) = 908080260

Least Common Multiple (LCM) of 67380 and 67385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67380 and 67385. First we will calculate the prime factors of 67380 and 67385.

Prime Factorization of 67380

Prime Factorization of 67385

Now multiplying the highest exponent prime factors to calculate the LCM of 67380 and 67385.

LCM(67380,67385) = 2² × 3¹ × 5¹ × 1123¹ × 13477¹
LCM(67380,67385) = 908080260