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What is the Least Common Multiple of 56211 and 56216?

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 56211 and 56216 is 3159957576.

LCM(56211,56216) = 3159957576

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Least Common Multiple of 56211 and 56216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56211 and 56216, than apply into the LCM equation.

GCF(56211,56216) = 1
LCM(56211,56216) = ( 56211 × 56216) / 1
LCM(56211,56216) = 3159957576 / 1
LCM(56211,56216) = 3159957576

Least Common Multiple (LCM) of 56211 and 56216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56211 and 56216. First we will calculate the prime factors of 56211 and 56216.

Prime Factorization of 56211

Prime factors of 56211 are 3, 41, 457. Prime factorization of 56211 in exponential form is:

56211 = 31 × 411 × 4571

Prime Factorization of 56216

Prime factors of 56216 are 2, 7027. Prime factorization of 56216 in exponential form is:

56216 = 23 × 70271

Now multiplying the highest exponent prime factors to calculate the LCM of 56211 and 56216.

LCM(56211,56216) = 31 × 411 × 4571 × 23 × 70271
LCM(56211,56216) = 3159957576