What is the Least Common Multiple of 23918 and 23937?
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 23918 and 23937 is 572525166.
LCM(23918,23937) = 572525166
Least Common Multiple of 23918 and 23937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23918 and 23937, than apply into the LCM equation.
GCF(23918,23937) = 1
LCM(23918,23937) = ( 23918 × 23937) / 1
LCM(23918,23937) = 572525166 / 1
LCM(23918,23937) = 572525166
Least Common Multiple (LCM) of 23918 and 23937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23918 and 23937. First we will calculate the prime factors of 23918 and 23937.
Prime Factorization of 23918
Prime factors of 23918 are 2, 11959. Prime factorization of 23918 in exponential form is:
23918 = 21 × 119591
Prime Factorization of 23937
Prime factors of 23937 are 3, 79, 101. Prime factorization of 23937 in exponential form is:
23937 = 31 × 791 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 23918 and 23937.
LCM(23918,23937) = 21 × 119591 × 31 × 791 × 1011
LCM(23918,23937) = 572525166
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