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What is the Least Common Multiple of 4455 and 4464?

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 (LCM) of 4455 and 4464 is 2209680.

LCM(4455,4464) = 2209680

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Least Common Multiple of 4455 and 4464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4455 and 4464, than apply into the LCM equation.

GCF(4455,4464) = 9
LCM(4455,4464) = ( 4455 × 4464) / 9
LCM(4455,4464) = 19887120 / 9
LCM(4455,4464) = 2209680

Least Common Multiple (LCM) of 4455 and 4464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4455 and 4464. First we will calculate the prime factors of 4455 and 4464.

Prime Factorization of 4455

Prime factors of 4455 are 3, 5, 11. Prime factorization of 4455 in exponential form is:

4455 = 34 × 51 × 111

Prime Factorization of 4464

Prime factors of 4464 are 2, 3, 31. Prime factorization of 4464 in exponential form is:

4464 = 24 × 32 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4455 and 4464.

LCM(4455,4464) = 34 × 51 × 111 × 24 × 311
LCM(4455,4464) = 2209680