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What is the Least Common Multiple of 14847 and 14852?

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 14847 and 14852 is 220507644.

LCM(14847,14852) = 220507644

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Least Common Multiple of 14847 and 14852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14847 and 14852, than apply into the LCM equation.

GCF(14847,14852) = 1
LCM(14847,14852) = ( 14847 × 14852) / 1
LCM(14847,14852) = 220507644 / 1
LCM(14847,14852) = 220507644

Least Common Multiple (LCM) of 14847 and 14852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14847 and 14852. First we will calculate the prime factors of 14847 and 14852.

Prime Factorization of 14847

Prime factors of 14847 are 3, 7, 101. Prime factorization of 14847 in exponential form is:

14847 = 31 × 72 × 1011

Prime Factorization of 14852

Prime factors of 14852 are 2, 47, 79. Prime factorization of 14852 in exponential form is:

14852 = 22 × 471 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 14847 and 14852.

LCM(14847,14852) = 31 × 72 × 1011 × 22 × 471 × 791
LCM(14847,14852) = 220507644