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What is the Least Common Multiple of 68927 and 68943?

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 68943 is 4752034161.

LCM(68927,68943) = 4752034161

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Least Common Multiple of 68927 and 68943 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 68943, than apply into the LCM equation.

GCF(68927,68943) = 1
LCM(68927,68943) = ( 68927 × 68943) / 1
LCM(68927,68943) = 4752034161 / 1
LCM(68927,68943) = 4752034161

Least Common Multiple (LCM) of 68927 and 68943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68927 and 68943. First we will calculate the prime factors of 68927 and 68943.

Prime Factorization of 68927

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

68927 = 689271

Prime Factorization of 68943

Prime factors of 68943 are 3, 7, 67. Prime factorization of 68943 in exponential form is:

68943 = 31 × 73 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 68927 and 68943.

LCM(68927,68943) = 689271 × 31 × 73 × 671
LCM(68927,68943) = 4752034161