What is the Least Common Multiple of 45434 and 45442?

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 45434 and 45442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45434 and 45442, than apply into the LCM equation.

GCF(45434,45442) = 2
LCM(45434,45442) = ( 45434 × 45442) / 2
LCM(45434,45442) = 2064611828 / 2
LCM(45434,45442) = 1032305914

Least Common Multiple (LCM) of 45434 and 45442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45434 and 45442. First we will calculate the prime factors of 45434 and 45442.

Prime Factorization of 45434

Prime Factorization of 45442

Now multiplying the highest exponent prime factors to calculate the LCM of 45434 and 45442.

LCM(45434,45442) = 2¹ × 22717¹ × 22721¹
LCM(45434,45442) = 1032305914