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What is the Least Common Multiple of 11672 and 11682?

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 11672 and 11682 is 68176152.

LCM(11672,11682) = 68176152

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Least Common Multiple of 11672 and 11682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11672 and 11682, than apply into the LCM equation.

GCF(11672,11682) = 2
LCM(11672,11682) = ( 11672 × 11682) / 2
LCM(11672,11682) = 136352304 / 2
LCM(11672,11682) = 68176152

Least Common Multiple (LCM) of 11672 and 11682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11672 and 11682. First we will calculate the prime factors of 11672 and 11682.

Prime Factorization of 11672

Prime factors of 11672 are 2, 1459. Prime factorization of 11672 in exponential form is:

11672 = 23 × 14591

Prime Factorization of 11682

Prime factors of 11682 are 2, 3, 11, 59. Prime factorization of 11682 in exponential form is:

11682 = 21 × 32 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 11672 and 11682.

LCM(11672,11682) = 23 × 14591 × 32 × 111 × 591
LCM(11672,11682) = 68176152