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What is the Least Common Multiple of 66040 and 66054?

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 66040 and 66054 is 2181103080.

LCM(66040,66054) = 2181103080

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Least Common Multiple of 66040 and 66054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66040 and 66054, than apply into the LCM equation.

GCF(66040,66054) = 2
LCM(66040,66054) = ( 66040 × 66054) / 2
LCM(66040,66054) = 4362206160 / 2
LCM(66040,66054) = 2181103080

Least Common Multiple (LCM) of 66040 and 66054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66040 and 66054. First we will calculate the prime factors of 66040 and 66054.

Prime Factorization of 66040

Prime factors of 66040 are 2, 5, 13, 127. Prime factorization of 66040 in exponential form is:

66040 = 23 × 51 × 131 × 1271

Prime Factorization of 66054

Prime factors of 66054 are 2, 3, 101, 109. Prime factorization of 66054 in exponential form is:

66054 = 21 × 31 × 1011 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 66040 and 66054.

LCM(66040,66054) = 23 × 51 × 131 × 1271 × 31 × 1011 × 1091
LCM(66040,66054) = 2181103080