What is the Least Common Multiple of 42829 and 42847?
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 42829 and 42847 is 1835094163.
LCM(42829,42847) = 1835094163
Least Common Multiple of 42829 and 42847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42829 and 42847, than apply into the LCM equation.
GCF(42829,42847) = 1
LCM(42829,42847) = ( 42829 × 42847) / 1
LCM(42829,42847) = 1835094163 / 1
LCM(42829,42847) = 1835094163
Least Common Multiple (LCM) of 42829 and 42847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42829 and 42847. First we will calculate the prime factors of 42829 and 42847.
Prime Factorization of 42829
Prime factors of 42829 are 42829. Prime factorization of 42829 in exponential form is:
42829 = 428291
Prime Factorization of 42847
Prime factors of 42847 are 7, 6121. Prime factorization of 42847 in exponential form is:
42847 = 71 × 61211
Now multiplying the highest exponent prime factors to calculate the LCM of 42829 and 42847.
LCM(42829,42847) = 428291 × 71 × 61211
LCM(42829,42847) = 1835094163
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