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What is the Least Common Multiple of 60661 and 60673?

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 60661 and 60673 is 3680484853.

LCM(60661,60673) = 3680484853

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Least Common Multiple of 60661 and 60673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60661 and 60673, than apply into the LCM equation.

GCF(60661,60673) = 1
LCM(60661,60673) = ( 60661 × 60673) / 1
LCM(60661,60673) = 3680484853 / 1
LCM(60661,60673) = 3680484853

Least Common Multiple (LCM) of 60661 and 60673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60661 and 60673. First we will calculate the prime factors of 60661 and 60673.

Prime Factorization of 60661

Prime factors of 60661 are 60661. Prime factorization of 60661 in exponential form is:

60661 = 606611

Prime Factorization of 60673

Prime factors of 60673 are 17, 43, 83. Prime factorization of 60673 in exponential form is:

60673 = 171 × 431 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 60661 and 60673.

LCM(60661,60673) = 606611 × 171 × 431 × 831
LCM(60661,60673) = 3680484853