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What is the Least Common Multiple of 11754 and 11770?

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 11754 and 11770 is 69172290.

LCM(11754,11770) = 69172290

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Least Common Multiple of 11754 and 11770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11754 and 11770, than apply into the LCM equation.

GCF(11754,11770) = 2
LCM(11754,11770) = ( 11754 × 11770) / 2
LCM(11754,11770) = 138344580 / 2
LCM(11754,11770) = 69172290

Least Common Multiple (LCM) of 11754 and 11770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11754 and 11770. First we will calculate the prime factors of 11754 and 11770.

Prime Factorization of 11754

Prime factors of 11754 are 2, 3, 653. Prime factorization of 11754 in exponential form is:

11754 = 21 × 32 × 6531

Prime Factorization of 11770

Prime factors of 11770 are 2, 5, 11, 107. Prime factorization of 11770 in exponential form is:

11770 = 21 × 51 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 11754 and 11770.

LCM(11754,11770) = 21 × 32 × 6531 × 51 × 111 × 1071
LCM(11754,11770) = 69172290