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What is the Least Common Multiple of 30068 and 30079?

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 30068 and 30079 is 904415372.

LCM(30068,30079) = 904415372

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Least Common Multiple of 30068 and 30079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30068 and 30079, than apply into the LCM equation.

GCF(30068,30079) = 1
LCM(30068,30079) = ( 30068 × 30079) / 1
LCM(30068,30079) = 904415372 / 1
LCM(30068,30079) = 904415372

Least Common Multiple (LCM) of 30068 and 30079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30068 and 30079. First we will calculate the prime factors of 30068 and 30079.

Prime Factorization of 30068

Prime factors of 30068 are 2, 7517. Prime factorization of 30068 in exponential form is:

30068 = 22 × 75171

Prime Factorization of 30079

Prime factors of 30079 are 7, 4297. Prime factorization of 30079 in exponential form is:

30079 = 71 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 30068 and 30079.

LCM(30068,30079) = 22 × 75171 × 71 × 42971
LCM(30068,30079) = 904415372