What is the Least Common Multiple of 42847 and 42867?
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 42847 and 42867 is 1836722349.
LCM(42847,42867) = 1836722349
Least Common Multiple of 42847 and 42867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42847 and 42867, than apply into the LCM equation.
GCF(42847,42867) = 1
LCM(42847,42867) = ( 42847 × 42867) / 1
LCM(42847,42867) = 1836722349 / 1
LCM(42847,42867) = 1836722349
Least Common Multiple (LCM) of 42847 and 42867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42847 and 42867. First we will calculate the prime factors of 42847 and 42867.
Prime Factorization of 42847
Prime factors of 42847 are 7, 6121. Prime factorization of 42847 in exponential form is:
42847 = 71 × 61211
Prime Factorization of 42867
Prime factors of 42867 are 3, 11, 433. Prime factorization of 42867 in exponential form is:
42867 = 32 × 111 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 42847 and 42867.
LCM(42847,42867) = 71 × 61211 × 32 × 111 × 4331
LCM(42847,42867) = 1836722349
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