What is the Least Common Multiple of 71829 and 71846?
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 71829 and 71846 is 5160626334.
LCM(71829,71846) = 5160626334
Least Common Multiple of 71829 and 71846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71829 and 71846, than apply into the LCM equation.
GCF(71829,71846) = 1
LCM(71829,71846) = ( 71829 × 71846) / 1
LCM(71829,71846) = 5160626334 / 1
LCM(71829,71846) = 5160626334
Least Common Multiple (LCM) of 71829 and 71846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71829 and 71846. First we will calculate the prime factors of 71829 and 71846.
Prime Factorization of 71829
Prime factors of 71829 are 3, 23, 347. Prime factorization of 71829 in exponential form is:
71829 = 32 × 231 × 3471
Prime Factorization of 71846
Prime factors of 71846 are 2, 35923. Prime factorization of 71846 in exponential form is:
71846 = 21 × 359231
Now multiplying the highest exponent prime factors to calculate the LCM of 71829 and 71846.
LCM(71829,71846) = 32 × 231 × 3471 × 21 × 359231
LCM(71829,71846) = 5160626334
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