What is the Least Common Multiple of 84370 and 84379?
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 84370 and 84379 is 7119056230.
LCM(84370,84379) = 7119056230
Least Common Multiple of 84370 and 84379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84370 and 84379, than apply into the LCM equation.
GCF(84370,84379) = 1
LCM(84370,84379) = ( 84370 × 84379) / 1
LCM(84370,84379) = 7119056230 / 1
LCM(84370,84379) = 7119056230
Least Common Multiple (LCM) of 84370 and 84379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84370 and 84379. First we will calculate the prime factors of 84370 and 84379.
Prime Factorization of 84370
Prime factors of 84370 are 2, 5, 11, 13, 59. Prime factorization of 84370 in exponential form is:
84370 = 21 × 51 × 111 × 131 × 591
Prime Factorization of 84379
Prime factors of 84379 are 19, 4441. Prime factorization of 84379 in exponential form is:
84379 = 191 × 44411
Now multiplying the highest exponent prime factors to calculate the LCM of 84370 and 84379.
LCM(84370,84379) = 21 × 51 × 111 × 131 × 591 × 191 × 44411
LCM(84370,84379) = 7119056230
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