What is the Least Common Multiple of 37771 and 37777?
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 37771 and 37777 is 1426875067.
LCM(37771,37777) = 1426875067
Least Common Multiple of 37771 and 37777 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37771 and 37777, than apply into the LCM equation.
GCF(37771,37777) = 1
LCM(37771,37777) = ( 37771 × 37777) / 1
LCM(37771,37777) = 1426875067 / 1
LCM(37771,37777) = 1426875067
Least Common Multiple (LCM) of 37771 and 37777 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37771 and 37777. First we will calculate the prime factors of 37771 and 37777.
Prime Factorization of 37771
Prime factors of 37771 are 107, 353. Prime factorization of 37771 in exponential form is:
37771 = 1071 × 3531
Prime Factorization of 37777
Prime factors of 37777 are 37, 1021. Prime factorization of 37777 in exponential form is:
37777 = 371 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 37771 and 37777.
LCM(37771,37777) = 1071 × 3531 × 371 × 10211
LCM(37771,37777) = 1426875067
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