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What is the Least Common Multiple of 60641 and 60655?

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 60641 and 60655 is 525454265.

LCM(60641,60655) = 525454265

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Least Common Multiple of 60641 and 60655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60641 and 60655, than apply into the LCM equation.

GCF(60641,60655) = 7
LCM(60641,60655) = ( 60641 × 60655) / 7
LCM(60641,60655) = 3678179855 / 7
LCM(60641,60655) = 525454265

Least Common Multiple (LCM) of 60641 and 60655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60641 and 60655. First we will calculate the prime factors of 60641 and 60655.

Prime Factorization of 60641

Prime factors of 60641 are 7, 8663. Prime factorization of 60641 in exponential form is:

60641 = 71 × 86631

Prime Factorization of 60655

Prime factors of 60655 are 5, 7, 1733. Prime factorization of 60655 in exponential form is:

60655 = 51 × 71 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 60641 and 60655.

LCM(60641,60655) = 71 × 86631 × 51 × 17331
LCM(60641,60655) = 525454265