What is the Least Common Multiple of 45320 and 45333?

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 45333 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 45333, than apply into the LCM equation.

GCF(45320,45333) = 1
LCM(45320,45333) = ( 45320 × 45333) / 1
LCM(45320,45333) = 2054491560 / 1
LCM(45320,45333) = 2054491560

Least Common Multiple (LCM) of 45320 and 45333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45320 and 45333. First we will calculate the prime factors of 45320 and 45333.

Prime Factorization of 45320

Prime Factorization of 45333

Now multiplying the highest exponent prime factors to calculate the LCM of 45320 and 45333.

LCM(45320,45333) = 2³ × 5¹ × 11¹ × 103¹ × 3³ × 23¹ × 73¹
LCM(45320,45333) = 2054491560