What is the Least Common Multiple of 37633 and 37643?
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 37633 and 37643 is 1416619019.
LCM(37633,37643) = 1416619019
Least Common Multiple of 37633 and 37643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37633 and 37643, than apply into the LCM equation.
GCF(37633,37643) = 1
LCM(37633,37643) = ( 37633 × 37643) / 1
LCM(37633,37643) = 1416619019 / 1
LCM(37633,37643) = 1416619019
Least Common Multiple (LCM) of 37633 and 37643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37633 and 37643. First we will calculate the prime factors of 37633 and 37643.
Prime Factorization of 37633
Prime factors of 37633 are 37633. Prime factorization of 37633 in exponential form is:
37633 = 376331
Prime Factorization of 37643
Prime factors of 37643 are 37643. Prime factorization of 37643 in exponential form is:
37643 = 376431
Now multiplying the highest exponent prime factors to calculate the LCM of 37633 and 37643.
LCM(37633,37643) = 376331 × 376431
LCM(37633,37643) = 1416619019
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