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What is the Least Common Multiple of 66053 and 66057?

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 66053 and 66057 is 4363263021.

LCM(66053,66057) = 4363263021

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Least Common Multiple of 66053 and 66057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66053 and 66057, than apply into the LCM equation.

GCF(66053,66057) = 1
LCM(66053,66057) = ( 66053 × 66057) / 1
LCM(66053,66057) = 4363263021 / 1
LCM(66053,66057) = 4363263021

Least Common Multiple (LCM) of 66053 and 66057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66053 and 66057. First we will calculate the prime factors of 66053 and 66057.

Prime Factorization of 66053

Prime factors of 66053 are 13, 5081. Prime factorization of 66053 in exponential form is:

66053 = 131 × 50811

Prime Factorization of 66057

Prime factors of 66057 are 3, 97, 227. Prime factorization of 66057 in exponential form is:

66057 = 31 × 971 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 66053 and 66057.

LCM(66053,66057) = 131 × 50811 × 31 × 971 × 2271
LCM(66053,66057) = 4363263021