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What is the Least Common Multiple of 67496 and 67502?

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 67496 and 67502 is 2278057496.

LCM(67496,67502) = 2278057496

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Least Common Multiple of 67496 and 67502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67496 and 67502, than apply into the LCM equation.

GCF(67496,67502) = 2
LCM(67496,67502) = ( 67496 × 67502) / 2
LCM(67496,67502) = 4556114992 / 2
LCM(67496,67502) = 2278057496

Least Common Multiple (LCM) of 67496 and 67502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67496 and 67502. First we will calculate the prime factors of 67496 and 67502.

Prime Factorization of 67496

Prime factors of 67496 are 2, 11, 13, 59. Prime factorization of 67496 in exponential form is:

67496 = 23 × 111 × 131 × 591

Prime Factorization of 67502

Prime factors of 67502 are 2, 33751. Prime factorization of 67502 in exponential form is:

67502 = 21 × 337511

Now multiplying the highest exponent prime factors to calculate the LCM of 67496 and 67502.

LCM(67496,67502) = 23 × 111 × 131 × 591 × 337511
LCM(67496,67502) = 2278057496