What is the Least Common Multiple of 67498 and 67517?
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 67498 and 67517 is 4557262466.
LCM(67498,67517) = 4557262466
Least Common Multiple of 67498 and 67517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67498 and 67517, than apply into the LCM equation.
GCF(67498,67517) = 1
LCM(67498,67517) = ( 67498 × 67517) / 1
LCM(67498,67517) = 4557262466 / 1
LCM(67498,67517) = 4557262466
Least Common Multiple (LCM) of 67498 and 67517 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67498 and 67517. First we will calculate the prime factors of 67498 and 67517.
Prime Factorization of 67498
Prime factors of 67498 are 2, 33749. Prime factorization of 67498 in exponential form is:
67498 = 21 × 337491
Prime Factorization of 67517
Prime factors of 67517 are 107, 631. Prime factorization of 67517 in exponential form is:
67517 = 1071 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 67498 and 67517.
LCM(67498,67517) = 21 × 337491 × 1071 × 6311
LCM(67498,67517) = 4557262466
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