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What is the Least Common Multiple of 68926 and 68937?

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 68926 and 68937 is 431959242.

LCM(68926,68937) = 431959242

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Least Common Multiple of 68926 and 68937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68926 and 68937, than apply into the LCM equation.

GCF(68926,68937) = 11
LCM(68926,68937) = ( 68926 × 68937) / 11
LCM(68926,68937) = 4751551662 / 11
LCM(68926,68937) = 431959242

Least Common Multiple (LCM) of 68926 and 68937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68926 and 68937. First we will calculate the prime factors of 68926 and 68937.

Prime Factorization of 68926

Prime factors of 68926 are 2, 11, 13, 241. Prime factorization of 68926 in exponential form is:

68926 = 21 × 111 × 131 × 2411

Prime Factorization of 68937

Prime factors of 68937 are 3, 11, 2089. Prime factorization of 68937 in exponential form is:

68937 = 31 × 111 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 68926 and 68937.

LCM(68926,68937) = 21 × 111 × 131 × 2411 × 31 × 20891
LCM(68926,68937) = 431959242