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What is the Least Common Multiple of 44473 and 44479?

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 44473 and 44479 is 1978114567.

LCM(44473,44479) = 1978114567

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Least Common Multiple of 44473 and 44479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44473 and 44479, than apply into the LCM equation.

GCF(44473,44479) = 1
LCM(44473,44479) = ( 44473 × 44479) / 1
LCM(44473,44479) = 1978114567 / 1
LCM(44473,44479) = 1978114567

Least Common Multiple (LCM) of 44473 and 44479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44473 and 44479. First we will calculate the prime factors of 44473 and 44479.

Prime Factorization of 44473

Prime factors of 44473 are 11, 13, 311. Prime factorization of 44473 in exponential form is:

44473 = 111 × 131 × 3111

Prime Factorization of 44479

Prime factors of 44479 are 19, 2341. Prime factorization of 44479 in exponential form is:

44479 = 191 × 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 44473 and 44479.

LCM(44473,44479) = 111 × 131 × 3111 × 191 × 23411
LCM(44473,44479) = 1978114567