What is the Least Common Multiple of 41851 and 41862?
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 41851 and 41862 is 1751966562.
LCM(41851,41862) = 1751966562
Least Common Multiple of 41851 and 41862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41851 and 41862, than apply into the LCM equation.
GCF(41851,41862) = 1
LCM(41851,41862) = ( 41851 × 41862) / 1
LCM(41851,41862) = 1751966562 / 1
LCM(41851,41862) = 1751966562
Least Common Multiple (LCM) of 41851 and 41862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41851 and 41862. First we will calculate the prime factors of 41851 and 41862.
Prime Factorization of 41851
Prime factors of 41851 are 41851. Prime factorization of 41851 in exponential form is:
41851 = 418511
Prime Factorization of 41862
Prime factors of 41862 are 2, 3, 6977. Prime factorization of 41862 in exponential form is:
41862 = 21 × 31 × 69771
Now multiplying the highest exponent prime factors to calculate the LCM of 41851 and 41862.
LCM(41851,41862) = 418511 × 21 × 31 × 69771
LCM(41851,41862) = 1751966562
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