What is the Least Common Multiple of 45428 and 45446?

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 45428 and 45446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45428 and 45446, than apply into the LCM equation.

GCF(45428,45446) = 2
LCM(45428,45446) = ( 45428 × 45446) / 2
LCM(45428,45446) = 2064520888 / 2
LCM(45428,45446) = 1032260444

Least Common Multiple (LCM) of 45428 and 45446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45428 and 45446. First we will calculate the prime factors of 45428 and 45446.

Prime Factorization of 45428

Prime Factorization of 45446

Now multiplying the highest exponent prime factors to calculate the LCM of 45428 and 45446.

LCM(45428,45446) = 2² × 41¹ × 277¹ × 31¹ × 733¹
LCM(45428,45446) = 1032260444