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What is the Least Common Multiple of 81437 and 81455?

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 81437 and 81455 is 6633450835.

LCM(81437,81455) = 6633450835

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Least Common Multiple of 81437 and 81455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81437 and 81455, than apply into the LCM equation.

GCF(81437,81455) = 1
LCM(81437,81455) = ( 81437 × 81455) / 1
LCM(81437,81455) = 6633450835 / 1
LCM(81437,81455) = 6633450835

Least Common Multiple (LCM) of 81437 and 81455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81437 and 81455. First we will calculate the prime factors of 81437 and 81455.

Prime Factorization of 81437

Prime factors of 81437 are 31, 37, 71. Prime factorization of 81437 in exponential form is:

81437 = 311 × 371 × 711

Prime Factorization of 81455

Prime factors of 81455 are 5, 11, 1481. Prime factorization of 81455 in exponential form is:

81455 = 51 × 111 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 81437 and 81455.

LCM(81437,81455) = 311 × 371 × 711 × 51 × 111 × 14811
LCM(81437,81455) = 6633450835