What is the Least Common Multiple of 41322 and 41335?
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 41322 and 41335 is 1708044870.
LCM(41322,41335) = 1708044870
Least Common Multiple of 41322 and 41335 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41322 and 41335, than apply into the LCM equation.
GCF(41322,41335) = 1
LCM(41322,41335) = ( 41322 × 41335) / 1
LCM(41322,41335) = 1708044870 / 1
LCM(41322,41335) = 1708044870
Least Common Multiple (LCM) of 41322 and 41335 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41322 and 41335. First we will calculate the prime factors of 41322 and 41335.
Prime Factorization of 41322
Prime factors of 41322 are 2, 3, 71, 97. Prime factorization of 41322 in exponential form is:
41322 = 21 × 31 × 711 × 971
Prime Factorization of 41335
Prime factors of 41335 are 5, 7, 1181. Prime factorization of 41335 in exponential form is:
41335 = 51 × 71 × 11811
Now multiplying the highest exponent prime factors to calculate the LCM of 41322 and 41335.
LCM(41322,41335) = 21 × 31 × 711 × 971 × 51 × 71 × 11811
LCM(41322,41335) = 1708044870
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