What is the Least Common Multiple of 29837 and 29847?
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 29837 and 29847 is 890544939.
LCM(29837,29847) = 890544939
Least Common Multiple of 29837 and 29847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29837 and 29847, than apply into the LCM equation.
GCF(29837,29847) = 1
LCM(29837,29847) = ( 29837 × 29847) / 1
LCM(29837,29847) = 890544939 / 1
LCM(29837,29847) = 890544939
Least Common Multiple (LCM) of 29837 and 29847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29837 and 29847. First we will calculate the prime factors of 29837 and 29847.
Prime Factorization of 29837
Prime factors of 29837 are 29837. Prime factorization of 29837 in exponential form is:
29837 = 298371
Prime Factorization of 29847
Prime factors of 29847 are 3, 9949. Prime factorization of 29847 in exponential form is:
29847 = 31 × 99491
Now multiplying the highest exponent prime factors to calculate the LCM of 29837 and 29847.
LCM(29837,29847) = 298371 × 31 × 99491
LCM(29837,29847) = 890544939
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Related Least Common Multiples of 29847
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