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What is the Least Common Multiple of 60637 and 60649?

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 60637 and 60649 is 3677573413.

LCM(60637,60649) = 3677573413

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Least Common Multiple of 60637 and 60649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60637 and 60649, than apply into the LCM equation.

GCF(60637,60649) = 1
LCM(60637,60649) = ( 60637 × 60649) / 1
LCM(60637,60649) = 3677573413 / 1
LCM(60637,60649) = 3677573413

Least Common Multiple (LCM) of 60637 and 60649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60637 and 60649. First we will calculate the prime factors of 60637 and 60649.

Prime Factorization of 60637

Prime factors of 60637 are 60637. Prime factorization of 60637 in exponential form is:

60637 = 606371

Prime Factorization of 60649

Prime factors of 60649 are 60649. Prime factorization of 60649 in exponential form is:

60649 = 606491

Now multiplying the highest exponent prime factors to calculate the LCM of 60637 and 60649.

LCM(60637,60649) = 606371 × 606491
LCM(60637,60649) = 3677573413