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What is the Least Common Multiple of 56642 and 56652?

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 56642 and 56652 is 1604441292.

LCM(56642,56652) = 1604441292

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Least Common Multiple of 56642 and 56652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56642 and 56652, than apply into the LCM equation.

GCF(56642,56652) = 2
LCM(56642,56652) = ( 56642 × 56652) / 2
LCM(56642,56652) = 3208882584 / 2
LCM(56642,56652) = 1604441292

Least Common Multiple (LCM) of 56642 and 56652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56642 and 56652. First we will calculate the prime factors of 56642 and 56652.

Prime Factorization of 56642

Prime factors of 56642 are 2, 127, 223. Prime factorization of 56642 in exponential form is:

56642 = 21 × 1271 × 2231

Prime Factorization of 56652

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

56652 = 22 × 31 × 47211

Now multiplying the highest exponent prime factors to calculate the LCM of 56642 and 56652.

LCM(56642,56652) = 22 × 1271 × 2231 × 31 × 47211
LCM(56642,56652) = 1604441292