What is the Least Common Multiple of 45364 and 45382?

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 45364 and 45382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45364 and 45382, than apply into the LCM equation.

GCF(45364,45382) = 2
LCM(45364,45382) = ( 45364 × 45382) / 2
LCM(45364,45382) = 2058709048 / 2
LCM(45364,45382) = 1029354524

Least Common Multiple (LCM) of 45364 and 45382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45364 and 45382. First we will calculate the prime factors of 45364 and 45382.

Prime Factorization of 45364

Prime Factorization of 45382

Now multiplying the highest exponent prime factors to calculate the LCM of 45364 and 45382.

LCM(45364,45382) = 2² × 11¹ × 1031¹ × 22691¹
LCM(45364,45382) = 1029354524