What is the Least Common Multiple of 56342 and 56349?

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 56342 and 56349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56342 and 56349, than apply into the LCM equation.

GCF(56342,56349) = 1
LCM(56342,56349) = ( 56342 × 56349) / 1
LCM(56342,56349) = 3174815358 / 1
LCM(56342,56349) = 3174815358

Least Common Multiple (LCM) of 56342 and 56349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56342 and 56349. First we will calculate the prime factors of 56342 and 56349.

Prime Factorization of 56342

Prime Factorization of 56349

Now multiplying the highest exponent prime factors to calculate the LCM of 56342 and 56349.

LCM(56342,56349) = 2¹ × 11¹ × 13¹ × 197¹ × 3³ × 2087¹
LCM(56342,56349) = 3174815358