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What is the Least Common Multiple of 11906 and 11921?

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 11906 and 11921 is 141931426.

LCM(11906,11921) = 141931426

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Least Common Multiple of 11906 and 11921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11906 and 11921, than apply into the LCM equation.

GCF(11906,11921) = 1
LCM(11906,11921) = ( 11906 × 11921) / 1
LCM(11906,11921) = 141931426 / 1
LCM(11906,11921) = 141931426

Least Common Multiple (LCM) of 11906 and 11921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11906 and 11921. First we will calculate the prime factors of 11906 and 11921.

Prime Factorization of 11906

Prime factors of 11906 are 2, 5953. Prime factorization of 11906 in exponential form is:

11906 = 21 × 59531

Prime Factorization of 11921

Prime factors of 11921 are 7, 13, 131. Prime factorization of 11921 in exponential form is:

11921 = 71 × 131 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 11906 and 11921.

LCM(11906,11921) = 21 × 59531 × 71 × 131 × 1311
LCM(11906,11921) = 141931426