What is the Least Common Multiple of 41042 and 41053?
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 41042 and 41053 is 1684897226.
LCM(41042,41053) = 1684897226
Least Common Multiple of 41042 and 41053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41042 and 41053, than apply into the LCM equation.
GCF(41042,41053) = 1
LCM(41042,41053) = ( 41042 × 41053) / 1
LCM(41042,41053) = 1684897226 / 1
LCM(41042,41053) = 1684897226
Least Common Multiple (LCM) of 41042 and 41053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41042 and 41053. First we will calculate the prime factors of 41042 and 41053.
Prime Factorization of 41042
Prime factors of 41042 are 2, 20521. Prime factorization of 41042 in exponential form is:
41042 = 21 × 205211
Prime Factorization of 41053
Prime factors of 41053 are 61, 673. Prime factorization of 41053 in exponential form is:
41053 = 611 × 6731
Now multiplying the highest exponent prime factors to calculate the LCM of 41042 and 41053.
LCM(41042,41053) = 21 × 205211 × 611 × 6731
LCM(41042,41053) = 1684897226
Related Least Common Multiples of 41042
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