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What is the Least Common Multiple of 68614 and 68624?

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 68614 and 68624 is 2354283568.

LCM(68614,68624) = 2354283568

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Least Common Multiple of 68614 and 68624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68614 and 68624, than apply into the LCM equation.

GCF(68614,68624) = 2
LCM(68614,68624) = ( 68614 × 68624) / 2
LCM(68614,68624) = 4708567136 / 2
LCM(68614,68624) = 2354283568

Least Common Multiple (LCM) of 68614 and 68624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68614 and 68624. First we will calculate the prime factors of 68614 and 68624.

Prime Factorization of 68614

Prime factors of 68614 are 2, 7, 13, 29. Prime factorization of 68614 in exponential form is:

68614 = 21 × 71 × 132 × 291

Prime Factorization of 68624

Prime factors of 68624 are 2, 4289. Prime factorization of 68624 in exponential form is:

68624 = 24 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 68614 and 68624.

LCM(68614,68624) = 24 × 71 × 132 × 291 × 42891
LCM(68614,68624) = 2354283568