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What is the Least Common Multiple of 67503 and 67514?

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 67503 and 67514 is 4557397542.

LCM(67503,67514) = 4557397542

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Least Common Multiple of 67503 and 67514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67503 and 67514, than apply into the LCM equation.

GCF(67503,67514) = 1
LCM(67503,67514) = ( 67503 × 67514) / 1
LCM(67503,67514) = 4557397542 / 1
LCM(67503,67514) = 4557397542

Least Common Multiple (LCM) of 67503 and 67514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67503 and 67514. First we will calculate the prime factors of 67503 and 67514.

Prime Factorization of 67503

Prime factors of 67503 are 3, 22501. Prime factorization of 67503 in exponential form is:

67503 = 31 × 225011

Prime Factorization of 67514

Prime factors of 67514 are 2, 33757. Prime factorization of 67514 in exponential form is:

67514 = 21 × 337571

Now multiplying the highest exponent prime factors to calculate the LCM of 67503 and 67514.

LCM(67503,67514) = 31 × 225011 × 21 × 337571
LCM(67503,67514) = 4557397542