What is the Least Common Multiple of 45320 and 45334?

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 45320 and 45334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45320 and 45334, than apply into the LCM equation.

GCF(45320,45334) = 2
LCM(45320,45334) = ( 45320 × 45334) / 2
LCM(45320,45334) = 2054536880 / 2
LCM(45320,45334) = 1027268440

Least Common Multiple (LCM) of 45320 and 45334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45320 and 45334. First we will calculate the prime factors of 45320 and 45334.

Prime Factorization of 45320

Prime Factorization of 45334

Now multiplying the highest exponent prime factors to calculate the LCM of 45320 and 45334.

LCM(45320,45334) = 2³ × 5¹ × 11¹ × 103¹ × 19¹ × 1193¹
LCM(45320,45334) = 1027268440