What is the Least Common Multiple of 41922 and 41927?
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 41922 and 41927 is 1757663694.
LCM(41922,41927) = 1757663694
Least Common Multiple of 41922 and 41927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41922 and 41927, than apply into the LCM equation.
GCF(41922,41927) = 1
LCM(41922,41927) = ( 41922 × 41927) / 1
LCM(41922,41927) = 1757663694 / 1
LCM(41922,41927) = 1757663694
Least Common Multiple (LCM) of 41922 and 41927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41922 and 41927. First we will calculate the prime factors of 41922 and 41927.
Prime Factorization of 41922
Prime factors of 41922 are 2, 3, 17, 137. Prime factorization of 41922 in exponential form is:
41922 = 21 × 32 × 171 × 1371
Prime Factorization of 41927
Prime factors of 41927 are 41927. Prime factorization of 41927 in exponential form is:
41927 = 419271
Now multiplying the highest exponent prime factors to calculate the LCM of 41922 and 41927.
LCM(41922,41927) = 21 × 32 × 171 × 1371 × 419271
LCM(41922,41927) = 1757663694
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