What is the Least Common Multiple of 37432 and 37438?
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 37432 and 37438 is 700689608.
LCM(37432,37438) = 700689608
Least Common Multiple of 37432 and 37438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37432 and 37438, than apply into the LCM equation.
GCF(37432,37438) = 2
LCM(37432,37438) = ( 37432 × 37438) / 2
LCM(37432,37438) = 1401379216 / 2
LCM(37432,37438) = 700689608
Least Common Multiple (LCM) of 37432 and 37438 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37432 and 37438. First we will calculate the prime factors of 37432 and 37438.
Prime Factorization of 37432
Prime factors of 37432 are 2, 4679. Prime factorization of 37432 in exponential form is:
37432 = 23 × 46791
Prime Factorization of 37438
Prime factors of 37438 are 2, 18719. Prime factorization of 37438 in exponential form is:
37438 = 21 × 187191
Now multiplying the highest exponent prime factors to calculate the LCM of 37432 and 37438.
LCM(37432,37438) = 23 × 46791 × 187191
LCM(37432,37438) = 700689608
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Related Least Common Multiples of 37438
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