What is the Least Common Multiple of 37433 and 37452?
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 37433 and 37452 is 1401940716.
LCM(37433,37452) = 1401940716
Least Common Multiple of 37433 and 37452 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37433 and 37452, than apply into the LCM equation.
GCF(37433,37452) = 1
LCM(37433,37452) = ( 37433 × 37452) / 1
LCM(37433,37452) = 1401940716 / 1
LCM(37433,37452) = 1401940716
Least Common Multiple (LCM) of 37433 and 37452 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37433 and 37452. First we will calculate the prime factors of 37433 and 37452.
Prime Factorization of 37433
Prime factors of 37433 are 11, 41, 83. Prime factorization of 37433 in exponential form is:
37433 = 111 × 411 × 831
Prime Factorization of 37452
Prime factors of 37452 are 2, 3, 3121. Prime factorization of 37452 in exponential form is:
37452 = 22 × 31 × 31211
Now multiplying the highest exponent prime factors to calculate the LCM of 37433 and 37452.
LCM(37433,37452) = 111 × 411 × 831 × 22 × 31 × 31211
LCM(37433,37452) = 1401940716
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