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What is the Least Common Multiple of 30154 and 30170?

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 30154 and 30170 is 454873090.

LCM(30154,30170) = 454873090

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Least Common Multiple of 30154 and 30170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30154 and 30170, than apply into the LCM equation.

GCF(30154,30170) = 2
LCM(30154,30170) = ( 30154 × 30170) / 2
LCM(30154,30170) = 909746180 / 2
LCM(30154,30170) = 454873090

Least Common Multiple (LCM) of 30154 and 30170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30154 and 30170. First we will calculate the prime factors of 30154 and 30170.

Prime Factorization of 30154

Prime factors of 30154 are 2, 15077. Prime factorization of 30154 in exponential form is:

30154 = 21 × 150771

Prime Factorization of 30170

Prime factors of 30170 are 2, 5, 7, 431. Prime factorization of 30170 in exponential form is:

30170 = 21 × 51 × 71 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 30154 and 30170.

LCM(30154,30170) = 21 × 150771 × 51 × 71 × 4311
LCM(30154,30170) = 454873090