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What is the Least Common Multiple of 30324 and 30332?

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 30324 and 30332 is 229946892.

LCM(30324,30332) = 229946892

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Least Common Multiple of 30324 and 30332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30324 and 30332, than apply into the LCM equation.

GCF(30324,30332) = 4
LCM(30324,30332) = ( 30324 × 30332) / 4
LCM(30324,30332) = 919787568 / 4
LCM(30324,30332) = 229946892

Least Common Multiple (LCM) of 30324 and 30332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30324 and 30332. First we will calculate the prime factors of 30324 and 30332.

Prime Factorization of 30324

Prime factors of 30324 are 2, 3, 7, 19. Prime factorization of 30324 in exponential form is:

30324 = 22 × 31 × 71 × 192

Prime Factorization of 30332

Prime factors of 30332 are 2, 7583. Prime factorization of 30332 in exponential form is:

30332 = 22 × 75831

Now multiplying the highest exponent prime factors to calculate the LCM of 30324 and 30332.

LCM(30324,30332) = 22 × 31 × 71 × 192 × 75831
LCM(30324,30332) = 229946892