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What is the Least Common Multiple of 68936 and 68951?

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 68936 and 68951 is 4753206136.

LCM(68936,68951) = 4753206136

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Least Common Multiple of 68936 and 68951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68936 and 68951, than apply into the LCM equation.

GCF(68936,68951) = 1
LCM(68936,68951) = ( 68936 × 68951) / 1
LCM(68936,68951) = 4753206136 / 1
LCM(68936,68951) = 4753206136

Least Common Multiple (LCM) of 68936 and 68951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68936 and 68951. First we will calculate the prime factors of 68936 and 68951.

Prime Factorization of 68936

Prime factors of 68936 are 2, 7, 1231. Prime factorization of 68936 in exponential form is:

68936 = 23 × 71 × 12311

Prime Factorization of 68951

Prime factors of 68951 are 19, 191. Prime factorization of 68951 in exponential form is:

68951 = 192 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 68936 and 68951.

LCM(68936,68951) = 23 × 71 × 12311 × 192 × 1911
LCM(68936,68951) = 4753206136