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What is the Least Common Multiple of 81236 and 81244?

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 81236 and 81244 is 1649984396.

LCM(81236,81244) = 1649984396

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Least Common Multiple of 81236 and 81244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81236 and 81244, than apply into the LCM equation.

GCF(81236,81244) = 4
LCM(81236,81244) = ( 81236 × 81244) / 4
LCM(81236,81244) = 6599937584 / 4
LCM(81236,81244) = 1649984396

Least Common Multiple (LCM) of 81236 and 81244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81236 and 81244. First we will calculate the prime factors of 81236 and 81244.

Prime Factorization of 81236

Prime factors of 81236 are 2, 23, 883. Prime factorization of 81236 in exponential form is:

81236 = 22 × 231 × 8831

Prime Factorization of 81244

Prime factors of 81244 are 2, 19, 1069. Prime factorization of 81244 in exponential form is:

81244 = 22 × 191 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 81236 and 81244.

LCM(81236,81244) = 22 × 231 × 8831 × 191 × 10691
LCM(81236,81244) = 1649984396