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What is the Least Common Multiple of 68624 and 68634?

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 68624 and 68634 is 2354969808.

LCM(68624,68634) = 2354969808

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Least Common Multiple of 68624 and 68634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68624 and 68634, than apply into the LCM equation.

GCF(68624,68634) = 2
LCM(68624,68634) = ( 68624 × 68634) / 2
LCM(68624,68634) = 4709939616 / 2
LCM(68624,68634) = 2354969808

Least Common Multiple (LCM) of 68624 and 68634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68624 and 68634. First we will calculate the prime factors of 68624 and 68634.

Prime Factorization of 68624

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

68624 = 24 × 42891

Prime Factorization of 68634

Prime factors of 68634 are 2, 3, 31, 41. Prime factorization of 68634 in exponential form is:

68634 = 21 × 33 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 68624 and 68634.

LCM(68624,68634) = 24 × 42891 × 33 × 311 × 411
LCM(68624,68634) = 2354969808