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What is the Least Common Multiple of 60899 and 60906?

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 60899 and 60906 is 3709114494.

LCM(60899,60906) = 3709114494

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Least Common Multiple of 60899 and 60906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60899 and 60906, than apply into the LCM equation.

GCF(60899,60906) = 1
LCM(60899,60906) = ( 60899 × 60906) / 1
LCM(60899,60906) = 3709114494 / 1
LCM(60899,60906) = 3709114494

Least Common Multiple (LCM) of 60899 and 60906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60899 and 60906. First we will calculate the prime factors of 60899 and 60906.

Prime Factorization of 60899

Prime factors of 60899 are 60899. Prime factorization of 60899 in exponential form is:

60899 = 608991

Prime Factorization of 60906

Prime factors of 60906 are 2, 3, 10151. Prime factorization of 60906 in exponential form is:

60906 = 21 × 31 × 101511

Now multiplying the highest exponent prime factors to calculate the LCM of 60899 and 60906.

LCM(60899,60906) = 608991 × 21 × 31 × 101511
LCM(60899,60906) = 3709114494