What is the Least Common Multiple of 61334 and 61342?

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 61334 and 61342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61334 and 61342, than apply into the LCM equation.

GCF(61334,61342) = 2
LCM(61334,61342) = ( 61334 × 61342) / 2
LCM(61334,61342) = 3762350228 / 2
LCM(61334,61342) = 1881175114

Least Common Multiple (LCM) of 61334 and 61342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61334 and 61342. First we will calculate the prime factors of 61334 and 61342.

Prime Factorization of 61334

Prime Factorization of 61342

Now multiplying the highest exponent prime factors to calculate the LCM of 61334 and 61342.

LCM(61334,61342) = 2¹ × 7¹ × 13¹ × 337¹ × 30671¹
LCM(61334,61342) = 1881175114