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What is the Least Common Multiple of 14975 and 14982?

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 14975 and 14982 is 224355450.

LCM(14975,14982) = 224355450

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Least Common Multiple of 14975 and 14982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14975 and 14982, than apply into the LCM equation.

GCF(14975,14982) = 1
LCM(14975,14982) = ( 14975 × 14982) / 1
LCM(14975,14982) = 224355450 / 1
LCM(14975,14982) = 224355450

Least Common Multiple (LCM) of 14975 and 14982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14975 and 14982. First we will calculate the prime factors of 14975 and 14982.

Prime Factorization of 14975

Prime factors of 14975 are 5, 599. Prime factorization of 14975 in exponential form is:

14975 = 52 × 5991

Prime Factorization of 14982

Prime factors of 14982 are 2, 3, 11, 227. Prime factorization of 14982 in exponential form is:

14982 = 21 × 31 × 111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 14975 and 14982.

LCM(14975,14982) = 52 × 5991 × 21 × 31 × 111 × 2271
LCM(14975,14982) = 224355450