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What is the Least Common Multiple of 20473 and 20479?

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 20473 and 20479 is 419266567.

LCM(20473,20479) = 419266567

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Least Common Multiple of 20473 and 20479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20473 and 20479, than apply into the LCM equation.

GCF(20473,20479) = 1
LCM(20473,20479) = ( 20473 × 20479) / 1
LCM(20473,20479) = 419266567 / 1
LCM(20473,20479) = 419266567

Least Common Multiple (LCM) of 20473 and 20479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20473 and 20479. First we will calculate the prime factors of 20473 and 20479.

Prime Factorization of 20473

Prime factors of 20473 are 59, 347. Prime factorization of 20473 in exponential form is:

20473 = 591 × 3471

Prime Factorization of 20479

Prime factors of 20479 are 20479. Prime factorization of 20479 in exponential form is:

20479 = 204791

Now multiplying the highest exponent prime factors to calculate the LCM of 20473 and 20479.

LCM(20473,20479) = 591 × 3471 × 204791
LCM(20473,20479) = 419266567