What is the Least Common Multiple of 45464 and 45475?

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 45464 and 45475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45464 and 45475, than apply into the LCM equation.

GCF(45464,45475) = 1
LCM(45464,45475) = ( 45464 × 45475) / 1
LCM(45464,45475) = 2067475400 / 1
LCM(45464,45475) = 2067475400

Least Common Multiple (LCM) of 45464 and 45475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45464 and 45475. First we will calculate the prime factors of 45464 and 45475.

Prime Factorization of 45464

Prime Factorization of 45475

Now multiplying the highest exponent prime factors to calculate the LCM of 45464 and 45475.

LCM(45464,45475) = 2³ × 5683¹ × 5² × 17¹ × 107¹
LCM(45464,45475) = 2067475400