What is the Least Common Multiple of 4330 and 4342?

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 4330 and 4342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4330 and 4342, than apply into the LCM equation.

GCF(4330,4342) = 2
LCM(4330,4342) = ( 4330 × 4342) / 2
LCM(4330,4342) = 18800860 / 2
LCM(4330,4342) = 9400430

Least Common Multiple (LCM) of 4330 and 4342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4330 and 4342. First we will calculate the prime factors of 4330 and 4342.

Prime Factorization of 4330

Prime Factorization of 4342

Now multiplying the highest exponent prime factors to calculate the LCM of 4330 and 4342.

LCM(4330,4342) = 2¹ × 5¹ × 433¹ × 13¹ × 167¹
LCM(4330,4342) = 9400430