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What is the Least Common Multiple of 56235 and 56252?

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 56235 and 56252 is 3163331220.

LCM(56235,56252) = 3163331220

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Least Common Multiple of 56235 and 56252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56235 and 56252, than apply into the LCM equation.

GCF(56235,56252) = 1
LCM(56235,56252) = ( 56235 × 56252) / 1
LCM(56235,56252) = 3163331220 / 1
LCM(56235,56252) = 3163331220

Least Common Multiple (LCM) of 56235 and 56252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56235 and 56252. First we will calculate the prime factors of 56235 and 56252.

Prime Factorization of 56235

Prime factors of 56235 are 3, 5, 23, 163. Prime factorization of 56235 in exponential form is:

56235 = 31 × 51 × 231 × 1631

Prime Factorization of 56252

Prime factors of 56252 are 2, 7, 41. Prime factorization of 56252 in exponential form is:

56252 = 22 × 73 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 56235 and 56252.

LCM(56235,56252) = 31 × 51 × 231 × 1631 × 22 × 73 × 411
LCM(56235,56252) = 3163331220