What is the Least Common Multiple of 41539 and 41551?
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 41539 and 41551 is 1725986989.
LCM(41539,41551) = 1725986989
Least Common Multiple of 41539 and 41551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41539 and 41551, than apply into the LCM equation.
GCF(41539,41551) = 1
LCM(41539,41551) = ( 41539 × 41551) / 1
LCM(41539,41551) = 1725986989 / 1
LCM(41539,41551) = 1725986989
Least Common Multiple (LCM) of 41539 and 41551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41539 and 41551. First we will calculate the prime factors of 41539 and 41551.
Prime Factorization of 41539
Prime factors of 41539 are 41539. Prime factorization of 41539 in exponential form is:
41539 = 415391
Prime Factorization of 41551
Prime factors of 41551 are 37, 1123. Prime factorization of 41551 in exponential form is:
41551 = 371 × 11231
Now multiplying the highest exponent prime factors to calculate the LCM of 41539 and 41551.
LCM(41539,41551) = 415391 × 371 × 11231
LCM(41539,41551) = 1725986989
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