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What is the Least Common Multiple of 44674 and 44680?

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 44674 and 44680 is 998017160.

LCM(44674,44680) = 998017160

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Least Common Multiple of 44674 and 44680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44674 and 44680, than apply into the LCM equation.

GCF(44674,44680) = 2
LCM(44674,44680) = ( 44674 × 44680) / 2
LCM(44674,44680) = 1996034320 / 2
LCM(44674,44680) = 998017160

Least Common Multiple (LCM) of 44674 and 44680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44674 and 44680. First we will calculate the prime factors of 44674 and 44680.

Prime Factorization of 44674

Prime factors of 44674 are 2, 7, 3191. Prime factorization of 44674 in exponential form is:

44674 = 21 × 71 × 31911

Prime Factorization of 44680

Prime factors of 44680 are 2, 5, 1117. Prime factorization of 44680 in exponential form is:

44680 = 23 × 51 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 44674 and 44680.

LCM(44674,44680) = 23 × 71 × 31911 × 51 × 11171
LCM(44674,44680) = 998017160