What is the Least Common Multiple of 837 and 844?
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 837 and 844 is 706428.
LCM(837,844) = 706428
Least Common Multiple of 837 and 844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 837 and 844, than apply into the LCM equation.
GCF(837,844) = 1
LCM(837,844) = ( 837 × 844) / 1
LCM(837,844) = 706428 / 1
LCM(837,844) = 706428
Least Common Multiple (LCM) of 837 and 844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 837 and 844. First we will calculate the prime factors of 837 and 844.
Prime Factorization of 837
Prime factors of 837 are 3, 31. Prime factorization of 837 in exponential form is:
837 = 33 × 311
Prime Factorization of 844
Prime factors of 844 are 2, 211. Prime factorization of 844 in exponential form is:
844 = 22 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 837 and 844.
LCM(837,844) = 33 × 311 × 22 × 2111
LCM(837,844) = 706428
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Related Least Common Multiples of 844
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