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What is the Least Common Multiple of 68626 and 68632?

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 68626 and 68632 is 2354969816.

LCM(68626,68632) = 2354969816

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Least Common Multiple of 68626 and 68632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68626 and 68632, than apply into the LCM equation.

GCF(68626,68632) = 2
LCM(68626,68632) = ( 68626 × 68632) / 2
LCM(68626,68632) = 4709939632 / 2
LCM(68626,68632) = 2354969816

Least Common Multiple (LCM) of 68626 and 68632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68626 and 68632. First we will calculate the prime factors of 68626 and 68632.

Prime Factorization of 68626

Prime factors of 68626 are 2, 34313. Prime factorization of 68626 in exponential form is:

68626 = 21 × 343131

Prime Factorization of 68632

Prime factors of 68632 are 2, 23, 373. Prime factorization of 68632 in exponential form is:

68632 = 23 × 231 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 68626 and 68632.

LCM(68626,68632) = 23 × 343131 × 231 × 3731
LCM(68626,68632) = 2354969816