What is the Least Common Multiple of 56430 and 56446?

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 56430 and 56446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56430 and 56446, than apply into the LCM equation.

GCF(56430,56446) = 2
LCM(56430,56446) = ( 56430 × 56446) / 2
LCM(56430,56446) = 3185247780 / 2
LCM(56430,56446) = 1592623890

Least Common Multiple (LCM) of 56430 and 56446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56430 and 56446. First we will calculate the prime factors of 56430 and 56446.

Prime Factorization of 56430

Prime Factorization of 56446

Now multiplying the highest exponent prime factors to calculate the LCM of 56430 and 56446.

LCM(56430,56446) = 2¹ × 3³ × 5¹ × 11¹ × 19¹ × 13² × 167¹
LCM(56430,56446) = 1592623890