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What is the Least Common Multiple of 56652 and 56669?

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 56652 and 56669 is 3210412188.

LCM(56652,56669) = 3210412188

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Least Common Multiple of 56652 and 56669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56652 and 56669, than apply into the LCM equation.

GCF(56652,56669) = 1
LCM(56652,56669) = ( 56652 × 56669) / 1
LCM(56652,56669) = 3210412188 / 1
LCM(56652,56669) = 3210412188

Least Common Multiple (LCM) of 56652 and 56669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56652 and 56669. First we will calculate the prime factors of 56652 and 56669.

Prime Factorization of 56652

Prime factors of 56652 are 2, 3, 4721. Prime factorization of 56652 in exponential form is:

56652 = 22 × 31 × 47211

Prime Factorization of 56669

Prime factors of 56669 are 61, 929. Prime factorization of 56669 in exponential form is:

56669 = 611 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 56652 and 56669.

LCM(56652,56669) = 22 × 31 × 47211 × 611 × 9291
LCM(56652,56669) = 3210412188