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What is the Least Common Multiple of 30145 and 30164?

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 30145 and 30164 is 909293780.

LCM(30145,30164) = 909293780

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Least Common Multiple of 30145 and 30164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30145 and 30164, than apply into the LCM equation.

GCF(30145,30164) = 1
LCM(30145,30164) = ( 30145 × 30164) / 1
LCM(30145,30164) = 909293780 / 1
LCM(30145,30164) = 909293780

Least Common Multiple (LCM) of 30145 and 30164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30145 and 30164. First we will calculate the prime factors of 30145 and 30164.

Prime Factorization of 30145

Prime factors of 30145 are 5, 6029. Prime factorization of 30145 in exponential form is:

30145 = 51 × 60291

Prime Factorization of 30164

Prime factors of 30164 are 2, 7541. Prime factorization of 30164 in exponential form is:

30164 = 22 × 75411

Now multiplying the highest exponent prime factors to calculate the LCM of 30145 and 30164.

LCM(30145,30164) = 51 × 60291 × 22 × 75411
LCM(30145,30164) = 909293780