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What is the Least Common Multiple of 60404 and 60411?

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 60404 and 60411 is 3649066044.

LCM(60404,60411) = 3649066044

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Least Common Multiple of 60404 and 60411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60404 and 60411, than apply into the LCM equation.

GCF(60404,60411) = 1
LCM(60404,60411) = ( 60404 × 60411) / 1
LCM(60404,60411) = 3649066044 / 1
LCM(60404,60411) = 3649066044

Least Common Multiple (LCM) of 60404 and 60411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60404 and 60411. First we will calculate the prime factors of 60404 and 60411.

Prime Factorization of 60404

Prime factors of 60404 are 2, 15101. Prime factorization of 60404 in exponential form is:

60404 = 22 × 151011

Prime Factorization of 60411

Prime factors of 60411 are 3, 13, 1549. Prime factorization of 60411 in exponential form is:

60411 = 31 × 131 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 60404 and 60411.

LCM(60404,60411) = 22 × 151011 × 31 × 131 × 15491
LCM(60404,60411) = 3649066044