What is the Least Common Multiple of 81379 and 81398?
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 81379 and 81398 is 6624087842.
LCM(81379,81398) = 6624087842
Least Common Multiple of 81379 and 81398 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81379 and 81398, than apply into the LCM equation.
GCF(81379,81398) = 1
LCM(81379,81398) = ( 81379 × 81398) / 1
LCM(81379,81398) = 6624087842 / 1
LCM(81379,81398) = 6624087842
Least Common Multiple (LCM) of 81379 and 81398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81379 and 81398. First we will calculate the prime factors of 81379 and 81398.
Prime Factorization of 81379
Prime factors of 81379 are 17, 4787. Prime factorization of 81379 in exponential form is:
81379 = 171 × 47871
Prime Factorization of 81398
Prime factors of 81398 are 2, 40699. Prime factorization of 81398 in exponential form is:
81398 = 21 × 406991
Now multiplying the highest exponent prime factors to calculate the LCM of 81379 and 81398.
LCM(81379,81398) = 171 × 47871 × 21 × 406991
LCM(81379,81398) = 6624087842
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