What is the Least Common Multiple of 45016 and 45033?

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 45016 and 45033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45016 and 45033, than apply into the LCM equation.

GCF(45016,45033) = 17
LCM(45016,45033) = ( 45016 × 45033) / 17
LCM(45016,45033) = 2027205528 / 17
LCM(45016,45033) = 119247384

Least Common Multiple (LCM) of 45016 and 45033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45016 and 45033. First we will calculate the prime factors of 45016 and 45033.

Prime Factorization of 45016

Prime Factorization of 45033

Now multiplying the highest exponent prime factors to calculate the LCM of 45016 and 45033.

LCM(45016,45033) = 2³ × 17¹ × 331¹ × 3¹ × 883¹
LCM(45016,45033) = 119247384