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What is the Least Common Multiple of 40142 and 40161?

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 40142 and 40161 is 1612142862.

LCM(40142,40161) = 1612142862

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Least Common Multiple of 40142 and 40161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40142 and 40161, than apply into the LCM equation.

GCF(40142,40161) = 1
LCM(40142,40161) = ( 40142 × 40161) / 1
LCM(40142,40161) = 1612142862 / 1
LCM(40142,40161) = 1612142862

Least Common Multiple (LCM) of 40142 and 40161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40142 and 40161. First we will calculate the prime factors of 40142 and 40161.

Prime Factorization of 40142

Prime factors of 40142 are 2, 20071. Prime factorization of 40142 in exponential form is:

40142 = 21 × 200711

Prime Factorization of 40161

Prime factors of 40161 are 3, 11, 1217. Prime factorization of 40161 in exponential form is:

40161 = 31 × 111 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 40142 and 40161.

LCM(40142,40161) = 21 × 200711 × 31 × 111 × 12171
LCM(40142,40161) = 1612142862