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What is the Least Common Multiple of 68629 and 68640?

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 68629 and 68640 is 428244960.

LCM(68629,68640) = 428244960

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Least Common Multiple of 68629 and 68640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68629 and 68640, than apply into the LCM equation.

GCF(68629,68640) = 11
LCM(68629,68640) = ( 68629 × 68640) / 11
LCM(68629,68640) = 4710694560 / 11
LCM(68629,68640) = 428244960

Least Common Multiple (LCM) of 68629 and 68640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68629 and 68640. First we will calculate the prime factors of 68629 and 68640.

Prime Factorization of 68629

Prime factors of 68629 are 11, 17, 367. Prime factorization of 68629 in exponential form is:

68629 = 111 × 171 × 3671

Prime Factorization of 68640

Prime factors of 68640 are 2, 3, 5, 11, 13. Prime factorization of 68640 in exponential form is:

68640 = 25 × 31 × 51 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 68629 and 68640.

LCM(68629,68640) = 111 × 171 × 3671 × 25 × 31 × 51 × 131
LCM(68629,68640) = 428244960