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What is the Least Common Multiple of 56145 and 56152?

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 56145 and 56152 is 3152654040.

LCM(56145,56152) = 3152654040

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Least Common Multiple of 56145 and 56152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56145 and 56152, than apply into the LCM equation.

GCF(56145,56152) = 1
LCM(56145,56152) = ( 56145 × 56152) / 1
LCM(56145,56152) = 3152654040 / 1
LCM(56145,56152) = 3152654040

Least Common Multiple (LCM) of 56145 and 56152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56145 and 56152. First we will calculate the prime factors of 56145 and 56152.

Prime Factorization of 56145

Prime factors of 56145 are 3, 5, 19, 197. Prime factorization of 56145 in exponential form is:

56145 = 31 × 51 × 191 × 1971

Prime Factorization of 56152

Prime factors of 56152 are 2, 7019. Prime factorization of 56152 in exponential form is:

56152 = 23 × 70191

Now multiplying the highest exponent prime factors to calculate the LCM of 56145 and 56152.

LCM(56145,56152) = 31 × 51 × 191 × 1971 × 23 × 70191
LCM(56145,56152) = 3152654040