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What is the Least Common Multiple of 60499 and 60515?

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 60499 and 60515 is 3661096985.

LCM(60499,60515) = 3661096985

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Least Common Multiple of 60499 and 60515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60499 and 60515, than apply into the LCM equation.

GCF(60499,60515) = 1
LCM(60499,60515) = ( 60499 × 60515) / 1
LCM(60499,60515) = 3661096985 / 1
LCM(60499,60515) = 3661096985

Least Common Multiple (LCM) of 60499 and 60515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60499 and 60515. First we will calculate the prime factors of 60499 and 60515.

Prime Factorization of 60499

Prime factors of 60499 are 101, 599. Prime factorization of 60499 in exponential form is:

60499 = 1011 × 5991

Prime Factorization of 60515

Prime factors of 60515 are 5, 7, 13, 19. Prime factorization of 60515 in exponential form is:

60515 = 51 × 72 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 60499 and 60515.

LCM(60499,60515) = 1011 × 5991 × 51 × 72 × 131 × 191
LCM(60499,60515) = 3661096985