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What is the Least Common Multiple of 30142 and 30159?

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 30142 and 30159 is 909052578.

LCM(30142,30159) = 909052578

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Least Common Multiple of 30142 and 30159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30142 and 30159, than apply into the LCM equation.

GCF(30142,30159) = 1
LCM(30142,30159) = ( 30142 × 30159) / 1
LCM(30142,30159) = 909052578 / 1
LCM(30142,30159) = 909052578

Least Common Multiple (LCM) of 30142 and 30159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30142 and 30159. First we will calculate the prime factors of 30142 and 30159.

Prime Factorization of 30142

Prime factors of 30142 are 2, 7, 2153. Prime factorization of 30142 in exponential form is:

30142 = 21 × 71 × 21531

Prime Factorization of 30159

Prime factors of 30159 are 3, 1117. Prime factorization of 30159 in exponential form is:

30159 = 33 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 30142 and 30159.

LCM(30142,30159) = 21 × 71 × 21531 × 33 × 11171
LCM(30142,30159) = 909052578