What is the Least Common Multiple of 8929 and 8944?
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 8929 and 8944 is 79860976.
LCM(8929,8944) = 79860976
Least Common Multiple of 8929 and 8944 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8929 and 8944, than apply into the LCM equation.
GCF(8929,8944) = 1
LCM(8929,8944) = ( 8929 × 8944) / 1
LCM(8929,8944) = 79860976 / 1
LCM(8929,8944) = 79860976
Least Common Multiple (LCM) of 8929 and 8944 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8929 and 8944. First we will calculate the prime factors of 8929 and 8944.
Prime Factorization of 8929
Prime factors of 8929 are 8929. Prime factorization of 8929 in exponential form is:
8929 = 89291
Prime Factorization of 8944
Prime factors of 8944 are 2, 13, 43. Prime factorization of 8944 in exponential form is:
8944 = 24 × 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 8929 and 8944.
LCM(8929,8944) = 89291 × 24 × 131 × 431
LCM(8929,8944) = 79860976
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