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What is the Least Common Multiple of 68927 and 68936?

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 68927 and 68936 is 4751551672.

LCM(68927,68936) = 4751551672

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Least Common Multiple of 68927 and 68936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68927 and 68936, than apply into the LCM equation.

GCF(68927,68936) = 1
LCM(68927,68936) = ( 68927 × 68936) / 1
LCM(68927,68936) = 4751551672 / 1
LCM(68927,68936) = 4751551672

Least Common Multiple (LCM) of 68927 and 68936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68927 and 68936. First we will calculate the prime factors of 68927 and 68936.

Prime Factorization of 68927

Prime factors of 68927 are 68927. Prime factorization of 68927 in exponential form is:

68927 = 689271

Prime Factorization of 68936

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

68936 = 23 × 71 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 68927 and 68936.

LCM(68927,68936) = 689271 × 23 × 71 × 12311
LCM(68927,68936) = 4751551672