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What is the Least Common Multiple of 11046 and 11058?

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 11046 and 11058 is 20357778.

LCM(11046,11058) = 20357778

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Least Common Multiple of 11046 and 11058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11046 and 11058, than apply into the LCM equation.

GCF(11046,11058) = 6
LCM(11046,11058) = ( 11046 × 11058) / 6
LCM(11046,11058) = 122146668 / 6
LCM(11046,11058) = 20357778

Least Common Multiple (LCM) of 11046 and 11058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11046 and 11058. First we will calculate the prime factors of 11046 and 11058.

Prime Factorization of 11046

Prime factors of 11046 are 2, 3, 7, 263. Prime factorization of 11046 in exponential form is:

11046 = 21 × 31 × 71 × 2631

Prime Factorization of 11058

Prime factors of 11058 are 2, 3, 19, 97. Prime factorization of 11058 in exponential form is:

11058 = 21 × 31 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 11046 and 11058.

LCM(11046,11058) = 21 × 31 × 71 × 2631 × 191 × 971
LCM(11046,11058) = 20357778