What is the Least Common Multiple of 61380 and 61392?

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 61392 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 61392, than apply into the LCM equation.

GCF(61380,61392) = 12
LCM(61380,61392) = ( 61380 × 61392) / 12
LCM(61380,61392) = 3768240960 / 12
LCM(61380,61392) = 314020080

Least Common Multiple (LCM) of 61380 and 61392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61380 and 61392. First we will calculate the prime factors of 61380 and 61392.

Prime Factorization of 61380

Prime Factorization of 61392

Now multiplying the highest exponent prime factors to calculate the LCM of 61380 and 61392.

LCM(61380,61392) = 2⁴ × 3² × 5¹ × 11¹ × 31¹ × 1279¹
LCM(61380,61392) = 314020080