What is the Least Common Multiple of 67380 and 67396?

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 67396 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 67396, than apply into the LCM equation.

GCF(67380,67396) = 4
LCM(67380,67396) = ( 67380 × 67396) / 4
LCM(67380,67396) = 4541142480 / 4
LCM(67380,67396) = 1135285620

Least Common Multiple (LCM) of 67380 and 67396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67380 and 67396. First we will calculate the prime factors of 67380 and 67396.

Prime Factorization of 67380

Prime Factorization of 67396

Now multiplying the highest exponent prime factors to calculate the LCM of 67380 and 67396.

LCM(67380,67396) = 2² × 3¹ × 5¹ × 1123¹ × 7¹ × 29¹ × 83¹
LCM(67380,67396) = 1135285620