What is the Least Common Multiple of 61380 and 61385?

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 61380 and 61385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61380 and 61385, than apply into the LCM equation.

GCF(61380,61385) = 5
LCM(61380,61385) = ( 61380 × 61385) / 5
LCM(61380,61385) = 3767811300 / 5
LCM(61380,61385) = 753562260

Least Common Multiple (LCM) of 61380 and 61385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61380 and 61385. First we will calculate the prime factors of 61380 and 61385.

Prime Factorization of 61380

Prime Factorization of 61385

Now multiplying the highest exponent prime factors to calculate the LCM of 61380 and 61385.

LCM(61380,61385) = 2² × 3² × 5¹ × 11¹ × 31¹ × 12277¹
LCM(61380,61385) = 753562260