What is the Least Common Multiple of 836 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 836 and 844 is 176396.
LCM(836,844) = 176396
Least Common Multiple of 836 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 836 and 844, than apply into the LCM equation.
GCF(836,844) = 4
LCM(836,844) = ( 836 × 844) / 4
LCM(836,844) = 705584 / 4
LCM(836,844) = 176396
Least Common Multiple (LCM) of 836 and 844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 836 and 844. First we will calculate the prime factors of 836 and 844.
Prime Factorization of 836
Prime factors of 836 are 2, 11, 19. Prime factorization of 836 in exponential form is:
836 = 22 × 111 × 191
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 836 and 844.
LCM(836,844) = 22 × 111 × 191 × 2111
LCM(836,844) = 176396
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Related Least Common Multiples of 844
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