What is the Least Common Multiple of 80922 and 80941?
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 80922 and 80941 is 6549907602.
LCM(80922,80941) = 6549907602
Least Common Multiple of 80922 and 80941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80922 and 80941, than apply into the LCM equation.
GCF(80922,80941) = 1
LCM(80922,80941) = ( 80922 × 80941) / 1
LCM(80922,80941) = 6549907602 / 1
LCM(80922,80941) = 6549907602
Least Common Multiple (LCM) of 80922 and 80941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80922 and 80941. First we will calculate the prime factors of 80922 and 80941.
Prime Factorization of 80922
Prime factors of 80922 are 2, 3, 13487. Prime factorization of 80922 in exponential form is:
80922 = 21 × 31 × 134871
Prime Factorization of 80941
Prime factors of 80941 are 7, 31, 373. Prime factorization of 80941 in exponential form is:
80941 = 71 × 311 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 80922 and 80941.
LCM(80922,80941) = 21 × 31 × 134871 × 71 × 311 × 3731
LCM(80922,80941) = 6549907602
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