What is the Least Common Multiple of 61347 and 61360?

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 61347 and 61360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61347 and 61360, than apply into the LCM equation.

GCF(61347,61360) = 13
LCM(61347,61360) = ( 61347 × 61360) / 13
LCM(61347,61360) = 3764251920 / 13
LCM(61347,61360) = 289557840

Least Common Multiple (LCM) of 61347 and 61360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61347 and 61360. First we will calculate the prime factors of 61347 and 61360.

Prime Factorization of 61347

Prime Factorization of 61360

Now multiplying the highest exponent prime factors to calculate the LCM of 61347 and 61360.

LCM(61347,61360) = 3¹ × 11² × 13² × 2⁴ × 5¹ × 59¹
LCM(61347,61360) = 289557840