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What is the Least Common Multiple of 30074 and 30078?

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 30074 and 30078 is 452282886.

LCM(30074,30078) = 452282886

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Least Common Multiple of 30074 and 30078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30074 and 30078, than apply into the LCM equation.

GCF(30074,30078) = 2
LCM(30074,30078) = ( 30074 × 30078) / 2
LCM(30074,30078) = 904565772 / 2
LCM(30074,30078) = 452282886

Least Common Multiple (LCM) of 30074 and 30078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30074 and 30078. First we will calculate the prime factors of 30074 and 30078.

Prime Factorization of 30074

Prime factors of 30074 are 2, 11, 1367. Prime factorization of 30074 in exponential form is:

30074 = 21 × 111 × 13671

Prime Factorization of 30078

Prime factors of 30078 are 2, 3, 557. Prime factorization of 30078 in exponential form is:

30078 = 21 × 33 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 30074 and 30078.

LCM(30074,30078) = 21 × 111 × 13671 × 33 × 5571
LCM(30074,30078) = 452282886