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What is the Least Common Multiple of 20627 and 20641?

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 20627 and 20641 is 425761907.

LCM(20627,20641) = 425761907

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Least Common Multiple of 20627 and 20641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20627 and 20641, than apply into the LCM equation.

GCF(20627,20641) = 1
LCM(20627,20641) = ( 20627 × 20641) / 1
LCM(20627,20641) = 425761907 / 1
LCM(20627,20641) = 425761907

Least Common Multiple (LCM) of 20627 and 20641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20627 and 20641. First we will calculate the prime factors of 20627 and 20641.

Prime Factorization of 20627

Prime factors of 20627 are 20627. Prime factorization of 20627 in exponential form is:

20627 = 206271

Prime Factorization of 20641

Prime factors of 20641 are 20641. Prime factorization of 20641 in exponential form is:

20641 = 206411

Now multiplying the highest exponent prime factors to calculate the LCM of 20627 and 20641.

LCM(20627,20641) = 206271 × 206411
LCM(20627,20641) = 425761907