What is the Least Common Multiple of 23975 and 23979?
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 23975 and 23979 is 574896525.
LCM(23975,23979) = 574896525
Least Common Multiple of 23975 and 23979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23975 and 23979, than apply into the LCM equation.
GCF(23975,23979) = 1
LCM(23975,23979) = ( 23975 × 23979) / 1
LCM(23975,23979) = 574896525 / 1
LCM(23975,23979) = 574896525
Least Common Multiple (LCM) of 23975 and 23979 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23975 and 23979. First we will calculate the prime factors of 23975 and 23979.
Prime Factorization of 23975
Prime factors of 23975 are 5, 7, 137. Prime factorization of 23975 in exponential form is:
23975 = 52 × 71 × 1371
Prime Factorization of 23979
Prime factors of 23979 are 3, 7993. Prime factorization of 23979 in exponential form is:
23979 = 31 × 79931
Now multiplying the highest exponent prime factors to calculate the LCM of 23975 and 23979.
LCM(23975,23979) = 52 × 71 × 1371 × 31 × 79931
LCM(23975,23979) = 574896525
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