What is the Least Common Multiple of 41379 and 41385?
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 41379 and 41385 is 570823305.
LCM(41379,41385) = 570823305
Least Common Multiple of 41379 and 41385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41379 and 41385, than apply into the LCM equation.
GCF(41379,41385) = 3
LCM(41379,41385) = ( 41379 × 41385) / 3
LCM(41379,41385) = 1712469915 / 3
LCM(41379,41385) = 570823305
Least Common Multiple (LCM) of 41379 and 41385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41379 and 41385. First we will calculate the prime factors of 41379 and 41385.
Prime Factorization of 41379
Prime factors of 41379 are 3, 13, 1061. Prime factorization of 41379 in exponential form is:
41379 = 31 × 131 × 10611
Prime Factorization of 41385
Prime factors of 41385 are 3, 5, 31, 89. Prime factorization of 41385 in exponential form is:
41385 = 31 × 51 × 311 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 41379 and 41385.
LCM(41379,41385) = 31 × 131 × 10611 × 51 × 311 × 891
LCM(41379,41385) = 570823305
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