What is the Least Common Multiple of 41656 and 41673?
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 41656 and 41673 is 1735930488.
LCM(41656,41673) = 1735930488
Least Common Multiple of 41656 and 41673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41656 and 41673, than apply into the LCM equation.
GCF(41656,41673) = 1
LCM(41656,41673) = ( 41656 × 41673) / 1
LCM(41656,41673) = 1735930488 / 1
LCM(41656,41673) = 1735930488
Least Common Multiple (LCM) of 41656 and 41673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41656 and 41673. First we will calculate the prime factors of 41656 and 41673.
Prime Factorization of 41656
Prime factors of 41656 are 2, 41, 127. Prime factorization of 41656 in exponential form is:
41656 = 23 × 411 × 1271
Prime Factorization of 41673
Prime factors of 41673 are 3, 29, 479. Prime factorization of 41673 in exponential form is:
41673 = 31 × 291 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 41656 and 41673.
LCM(41656,41673) = 23 × 411 × 1271 × 31 × 291 × 4791
LCM(41656,41673) = 1735930488
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