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What is the Least Common Multiple of 65446 and 65461?

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 65446 and 65461 is 4284160606.

LCM(65446,65461) = 4284160606

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Least Common Multiple of 65446 and 65461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65446 and 65461, than apply into the LCM equation.

GCF(65446,65461) = 1
LCM(65446,65461) = ( 65446 × 65461) / 1
LCM(65446,65461) = 4284160606 / 1
LCM(65446,65461) = 4284160606

Least Common Multiple (LCM) of 65446 and 65461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65446 and 65461. First we will calculate the prime factors of 65446 and 65461.

Prime Factorization of 65446

Prime factors of 65446 are 2, 43, 761. Prime factorization of 65446 in exponential form is:

65446 = 21 × 431 × 7611

Prime Factorization of 65461

Prime factors of 65461 are 11, 541. Prime factorization of 65461 in exponential form is:

65461 = 112 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 65446 and 65461.

LCM(65446,65461) = 21 × 431 × 7611 × 112 × 5411
LCM(65446,65461) = 4284160606