What is the Least Common Multiple of 37897 and 37901?
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 37897 and 37901 is 1436334197.
LCM(37897,37901) = 1436334197
Least Common Multiple of 37897 and 37901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37897 and 37901, than apply into the LCM equation.
GCF(37897,37901) = 1
LCM(37897,37901) = ( 37897 × 37901) / 1
LCM(37897,37901) = 1436334197 / 1
LCM(37897,37901) = 1436334197
Least Common Multiple (LCM) of 37897 and 37901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37897 and 37901. First we will calculate the prime factors of 37897 and 37901.
Prime Factorization of 37897
Prime factors of 37897 are 37897. Prime factorization of 37897 in exponential form is:
37897 = 378971
Prime Factorization of 37901
Prime factors of 37901 are 151, 251. Prime factorization of 37901 in exponential form is:
37901 = 1511 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 37897 and 37901.
LCM(37897,37901) = 378971 × 1511 × 2511
LCM(37897,37901) = 1436334197
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