What is the Least Common Multiple of 41975 and 41983?
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 41975 and 41983 is 1762236425.
LCM(41975,41983) = 1762236425
Least Common Multiple of 41975 and 41983 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41975 and 41983, than apply into the LCM equation.
GCF(41975,41983) = 1
LCM(41975,41983) = ( 41975 × 41983) / 1
LCM(41975,41983) = 1762236425 / 1
LCM(41975,41983) = 1762236425
Least Common Multiple (LCM) of 41975 and 41983 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41975 and 41983. First we will calculate the prime factors of 41975 and 41983.
Prime Factorization of 41975
Prime factors of 41975 are 5, 23, 73. Prime factorization of 41975 in exponential form is:
41975 = 52 × 231 × 731
Prime Factorization of 41983
Prime factors of 41983 are 41983. Prime factorization of 41983 in exponential form is:
41983 = 419831
Now multiplying the highest exponent prime factors to calculate the LCM of 41975 and 41983.
LCM(41975,41983) = 52 × 231 × 731 × 419831
LCM(41975,41983) = 1762236425
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