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What is the Least Common Multiple of 11926 and 11945?

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 11926 and 11945 is 142456070.

LCM(11926,11945) = 142456070

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Least Common Multiple of 11926 and 11945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11926 and 11945, than apply into the LCM equation.

GCF(11926,11945) = 1
LCM(11926,11945) = ( 11926 × 11945) / 1
LCM(11926,11945) = 142456070 / 1
LCM(11926,11945) = 142456070

Least Common Multiple (LCM) of 11926 and 11945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11926 and 11945. First we will calculate the prime factors of 11926 and 11945.

Prime Factorization of 11926

Prime factors of 11926 are 2, 67, 89. Prime factorization of 11926 in exponential form is:

11926 = 21 × 671 × 891

Prime Factorization of 11945

Prime factors of 11945 are 5, 2389. Prime factorization of 11945 in exponential form is:

11945 = 51 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 11926 and 11945.

LCM(11926,11945) = 21 × 671 × 891 × 51 × 23891
LCM(11926,11945) = 142456070