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What is the Least Common Multiple of 81029 and 81048?

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 81029 and 81048 is 6567238392.

LCM(81029,81048) = 6567238392

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Least Common Multiple of 81029 and 81048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81029 and 81048, than apply into the LCM equation.

GCF(81029,81048) = 1
LCM(81029,81048) = ( 81029 × 81048) / 1
LCM(81029,81048) = 6567238392 / 1
LCM(81029,81048) = 6567238392

Least Common Multiple (LCM) of 81029 and 81048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81029 and 81048. First we will calculate the prime factors of 81029 and 81048.

Prime Factorization of 81029

Prime factors of 81029 are 13, 23, 271. Prime factorization of 81029 in exponential form is:

81029 = 131 × 231 × 2711

Prime Factorization of 81048

Prime factors of 81048 are 2, 3, 11, 307. Prime factorization of 81048 in exponential form is:

81048 = 23 × 31 × 111 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 81029 and 81048.

LCM(81029,81048) = 131 × 231 × 2711 × 23 × 31 × 111 × 3071
LCM(81029,81048) = 6567238392