What is the Least Common Multiple of 41542 and 41546?
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 41542 and 41546 is 862951966.
LCM(41542,41546) = 862951966
Least Common Multiple of 41542 and 41546 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41542 and 41546, than apply into the LCM equation.
GCF(41542,41546) = 2
LCM(41542,41546) = ( 41542 × 41546) / 2
LCM(41542,41546) = 1725903932 / 2
LCM(41542,41546) = 862951966
Least Common Multiple (LCM) of 41542 and 41546 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41542 and 41546. First we will calculate the prime factors of 41542 and 41546.
Prime Factorization of 41542
Prime factors of 41542 are 2, 20771. Prime factorization of 41542 in exponential form is:
41542 = 21 × 207711
Prime Factorization of 41546
Prime factors of 41546 are 2, 20773. Prime factorization of 41546 in exponential form is:
41546 = 21 × 207731
Now multiplying the highest exponent prime factors to calculate the LCM of 41542 and 41546.
LCM(41542,41546) = 21 × 207711 × 207731
LCM(41542,41546) = 862951966
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