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What is the Least Common Multiple of 30147 and 30153?

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 30147 and 30153 is 303007497.

LCM(30147,30153) = 303007497

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Least Common Multiple of 30147 and 30153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30147 and 30153, than apply into the LCM equation.

GCF(30147,30153) = 3
LCM(30147,30153) = ( 30147 × 30153) / 3
LCM(30147,30153) = 909022491 / 3
LCM(30147,30153) = 303007497

Least Common Multiple (LCM) of 30147 and 30153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30147 and 30153. First we will calculate the prime factors of 30147 and 30153.

Prime Factorization of 30147

Prime factors of 30147 are 3, 13, 773. Prime factorization of 30147 in exponential form is:

30147 = 31 × 131 × 7731

Prime Factorization of 30153

Prime factors of 30153 are 3, 19, 23. Prime factorization of 30153 in exponential form is:

30153 = 31 × 191 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 30147 and 30153.

LCM(30147,30153) = 31 × 131 × 7731 × 191 × 232
LCM(30147,30153) = 303007497