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What is the Least Common Multiple of 4053 and 4072?

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 4053 and 4072 is 16503816.

LCM(4053,4072) = 16503816

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Least Common Multiple of 4053 and 4072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4053 and 4072, than apply into the LCM equation.

GCF(4053,4072) = 1
LCM(4053,4072) = ( 4053 × 4072) / 1
LCM(4053,4072) = 16503816 / 1
LCM(4053,4072) = 16503816

Least Common Multiple (LCM) of 4053 and 4072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4053 and 4072. First we will calculate the prime factors of 4053 and 4072.

Prime Factorization of 4053

Prime factors of 4053 are 3, 7, 193. Prime factorization of 4053 in exponential form is:

4053 = 31 × 71 × 1931

Prime Factorization of 4072

Prime factors of 4072 are 2, 509. Prime factorization of 4072 in exponential form is:

4072 = 23 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 4053 and 4072.

LCM(4053,4072) = 31 × 71 × 1931 × 23 × 5091
LCM(4053,4072) = 16503816