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What is the Least Common Multiple of 60599 and 60615?

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 60599 and 60615 is 3673208385.

LCM(60599,60615) = 3673208385

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Least Common Multiple of 60599 and 60615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60599 and 60615, than apply into the LCM equation.

GCF(60599,60615) = 1
LCM(60599,60615) = ( 60599 × 60615) / 1
LCM(60599,60615) = 3673208385 / 1
LCM(60599,60615) = 3673208385

Least Common Multiple (LCM) of 60599 and 60615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60599 and 60615. First we will calculate the prime factors of 60599 and 60615.

Prime Factorization of 60599

Prime factors of 60599 are 7, 11, 787. Prime factorization of 60599 in exponential form is:

60599 = 71 × 111 × 7871

Prime Factorization of 60615

Prime factors of 60615 are 3, 5, 449. Prime factorization of 60615 in exponential form is:

60615 = 33 × 51 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 60599 and 60615.

LCM(60599,60615) = 71 × 111 × 7871 × 33 × 51 × 4491
LCM(60599,60615) = 3673208385