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What is the Least Common Multiple of 30268 and 30273?

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 30268 and 30273 is 916303164.

LCM(30268,30273) = 916303164

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Least Common Multiple of 30268 and 30273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30268 and 30273, than apply into the LCM equation.

GCF(30268,30273) = 1
LCM(30268,30273) = ( 30268 × 30273) / 1
LCM(30268,30273) = 916303164 / 1
LCM(30268,30273) = 916303164

Least Common Multiple (LCM) of 30268 and 30273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30268 and 30273. First we will calculate the prime factors of 30268 and 30273.

Prime Factorization of 30268

Prime factors of 30268 are 2, 7, 23, 47. Prime factorization of 30268 in exponential form is:

30268 = 22 × 71 × 231 × 471

Prime Factorization of 30273

Prime factors of 30273 are 3, 10091. Prime factorization of 30273 in exponential form is:

30273 = 31 × 100911

Now multiplying the highest exponent prime factors to calculate the LCM of 30268 and 30273.

LCM(30268,30273) = 22 × 71 × 231 × 471 × 31 × 100911
LCM(30268,30273) = 916303164