What is the Least Common Multiple of 56335 and 56354?

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 56335 and 56354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56335 and 56354, than apply into the LCM equation.

GCF(56335,56354) = 19
LCM(56335,56354) = ( 56335 × 56354) / 19
LCM(56335,56354) = 3174702590 / 19
LCM(56335,56354) = 167089610

Least Common Multiple (LCM) of 56335 and 56354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56335 and 56354. First we will calculate the prime factors of 56335 and 56354.

Prime Factorization of 56335

Prime Factorization of 56354

Now multiplying the highest exponent prime factors to calculate the LCM of 56335 and 56354.

LCM(56335,56354) = 5¹ × 19¹ × 593¹ × 2¹ × 1483¹
LCM(56335,56354) = 167089610