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What is the Least Common Multiple of 44152 and 44163?

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 44152 and 44163 is 1949884776.

LCM(44152,44163) = 1949884776

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Least Common Multiple of 44152 and 44163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44152 and 44163, than apply into the LCM equation.

GCF(44152,44163) = 1
LCM(44152,44163) = ( 44152 × 44163) / 1
LCM(44152,44163) = 1949884776 / 1
LCM(44152,44163) = 1949884776

Least Common Multiple (LCM) of 44152 and 44163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44152 and 44163. First we will calculate the prime factors of 44152 and 44163.

Prime Factorization of 44152

Prime factors of 44152 are 2, 5519. Prime factorization of 44152 in exponential form is:

44152 = 23 × 55191

Prime Factorization of 44163

Prime factors of 44163 are 3, 7, 701. Prime factorization of 44163 in exponential form is:

44163 = 32 × 71 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 44152 and 44163.

LCM(44152,44163) = 23 × 55191 × 32 × 71 × 7011
LCM(44152,44163) = 1949884776