What is the Least Common Multiple of 79859 and 79863?
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 79859 and 79863 is 6377779317.
LCM(79859,79863) = 6377779317
Least Common Multiple of 79859 and 79863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79859 and 79863, than apply into the LCM equation.
GCF(79859,79863) = 1
LCM(79859,79863) = ( 79859 × 79863) / 1
LCM(79859,79863) = 6377779317 / 1
LCM(79859,79863) = 6377779317
Least Common Multiple (LCM) of 79859 and 79863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79859 and 79863. First we will calculate the prime factors of 79859 and 79863.
Prime Factorization of 79859
Prime factors of 79859 are 13, 6143. Prime factorization of 79859 in exponential form is:
79859 = 131 × 61431
Prime Factorization of 79863
Prime factors of 79863 are 3, 7, 3803. Prime factorization of 79863 in exponential form is:
79863 = 31 × 71 × 38031
Now multiplying the highest exponent prime factors to calculate the LCM of 79859 and 79863.
LCM(79859,79863) = 131 × 61431 × 31 × 71 × 38031
LCM(79859,79863) = 6377779317
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