What is the Least Common Multiple of 65859 and 65874?
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 65859 and 65874 is 1446131922.
LCM(65859,65874) = 1446131922
Least Common Multiple of 65859 and 65874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65859 and 65874, than apply into the LCM equation.
GCF(65859,65874) = 3
LCM(65859,65874) = ( 65859 × 65874) / 3
LCM(65859,65874) = 4338395766 / 3
LCM(65859,65874) = 1446131922
Least Common Multiple (LCM) of 65859 and 65874 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65859 and 65874. First we will calculate the prime factors of 65859 and 65874.
Prime Factorization of 65859
Prime factors of 65859 are 3, 29, 757. Prime factorization of 65859 in exponential form is:
65859 = 31 × 291 × 7571
Prime Factorization of 65874
Prime factors of 65874 are 2, 3, 10979. Prime factorization of 65874 in exponential form is:
65874 = 21 × 31 × 109791
Now multiplying the highest exponent prime factors to calculate the LCM of 65859 and 65874.
LCM(65859,65874) = 31 × 291 × 7571 × 21 × 109791
LCM(65859,65874) = 1446131922
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