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What is the Least Common Multiple of 68908 and 68921?

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 68908 and 68921 is 4749208268.

LCM(68908,68921) = 4749208268

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Least Common Multiple of 68908 and 68921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68908 and 68921, than apply into the LCM equation.

GCF(68908,68921) = 1
LCM(68908,68921) = ( 68908 × 68921) / 1
LCM(68908,68921) = 4749208268 / 1
LCM(68908,68921) = 4749208268

Least Common Multiple (LCM) of 68908 and 68921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68908 and 68921. First we will calculate the prime factors of 68908 and 68921.

Prime Factorization of 68908

Prime factors of 68908 are 2, 7, 23, 107. Prime factorization of 68908 in exponential form is:

68908 = 22 × 71 × 231 × 1071

Prime Factorization of 68921

Prime factors of 68921 are 41. Prime factorization of 68921 in exponential form is:

68921 = 413

Now multiplying the highest exponent prime factors to calculate the LCM of 68908 and 68921.

LCM(68908,68921) = 22 × 71 × 231 × 1071 × 413
LCM(68908,68921) = 4749208268