What is the Least Common Multiple of 84379 and 84398?
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 84379 and 84398 is 374811518.
LCM(84379,84398) = 374811518
Least Common Multiple of 84379 and 84398 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84379 and 84398, than apply into the LCM equation.
GCF(84379,84398) = 19
LCM(84379,84398) = ( 84379 × 84398) / 19
LCM(84379,84398) = 7121418842 / 19
LCM(84379,84398) = 374811518
Least Common Multiple (LCM) of 84379 and 84398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84379 and 84398. First we will calculate the prime factors of 84379 and 84398.
Prime Factorization of 84379
Prime factors of 84379 are 19, 4441. Prime factorization of 84379 in exponential form is:
84379 = 191 × 44411
Prime Factorization of 84398
Prime factors of 84398 are 2, 19, 2221. Prime factorization of 84398 in exponential form is:
84398 = 21 × 191 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 84379 and 84398.
LCM(84379,84398) = 191 × 44411 × 21 × 22211
LCM(84379,84398) = 374811518
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