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What is the Least Common Multiple of 47162 and 47179?

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 47162 and 47179 is 2225055998.

LCM(47162,47179) = 2225055998

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Least Common Multiple of 47162 and 47179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47162 and 47179, than apply into the LCM equation.

GCF(47162,47179) = 1
LCM(47162,47179) = ( 47162 × 47179) / 1
LCM(47162,47179) = 2225055998 / 1
LCM(47162,47179) = 2225055998

Least Common Multiple (LCM) of 47162 and 47179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47162 and 47179. First we will calculate the prime factors of 47162 and 47179.

Prime Factorization of 47162

Prime factors of 47162 are 2, 23581. Prime factorization of 47162 in exponential form is:

47162 = 21 × 235811

Prime Factorization of 47179

Prime factors of 47179 are 11, 4289. Prime factorization of 47179 in exponential form is:

47179 = 111 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 47162 and 47179.

LCM(47162,47179) = 21 × 235811 × 111 × 42891
LCM(47162,47179) = 2225055998