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What is the Least Common Multiple of 56203 and 56208?

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 56203 and 56208 is 3159058224.

LCM(56203,56208) = 3159058224

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Least Common Multiple of 56203 and 56208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56203 and 56208, than apply into the LCM equation.

GCF(56203,56208) = 1
LCM(56203,56208) = ( 56203 × 56208) / 1
LCM(56203,56208) = 3159058224 / 1
LCM(56203,56208) = 3159058224

Least Common Multiple (LCM) of 56203 and 56208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56203 and 56208. First we will calculate the prime factors of 56203 and 56208.

Prime Factorization of 56203

Prime factors of 56203 are 7, 31, 37. Prime factorization of 56203 in exponential form is:

56203 = 72 × 311 × 371

Prime Factorization of 56208

Prime factors of 56208 are 2, 3, 1171. Prime factorization of 56208 in exponential form is:

56208 = 24 × 31 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 56203 and 56208.

LCM(56203,56208) = 72 × 311 × 371 × 24 × 31 × 11711
LCM(56203,56208) = 3159058224