What is the Least Common Multiple of 37809 and 37824?
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 37809 and 37824 is 476695872.
LCM(37809,37824) = 476695872
Least Common Multiple of 37809 and 37824 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37809 and 37824, than apply into the LCM equation.
GCF(37809,37824) = 3
LCM(37809,37824) = ( 37809 × 37824) / 3
LCM(37809,37824) = 1430087616 / 3
LCM(37809,37824) = 476695872
Least Common Multiple (LCM) of 37809 and 37824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37809 and 37824. First we will calculate the prime factors of 37809 and 37824.
Prime Factorization of 37809
Prime factors of 37809 are 3, 4201. Prime factorization of 37809 in exponential form is:
37809 = 32 × 42011
Prime Factorization of 37824
Prime factors of 37824 are 2, 3, 197. Prime factorization of 37824 in exponential form is:
37824 = 26 × 31 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 37809 and 37824.
LCM(37809,37824) = 32 × 42011 × 26 × 1971
LCM(37809,37824) = 476695872
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