What is the Least Common Multiple of 37015 and 37022?
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 37015 and 37022 is 1370369330.
LCM(37015,37022) = 1370369330
Least Common Multiple of 37015 and 37022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37015 and 37022, than apply into the LCM equation.
GCF(37015,37022) = 1
LCM(37015,37022) = ( 37015 × 37022) / 1
LCM(37015,37022) = 1370369330 / 1
LCM(37015,37022) = 1370369330
Least Common Multiple (LCM) of 37015 and 37022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 37015 and 37022. First we will calculate the prime factors of 37015 and 37022.
Prime Factorization of 37015
Prime factors of 37015 are 5, 11, 673. Prime factorization of 37015 in exponential form is:
37015 = 51 × 111 × 6731
Prime Factorization of 37022
Prime factors of 37022 are 2, 107, 173. Prime factorization of 37022 in exponential form is:
37022 = 21 × 1071 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 37015 and 37022.
LCM(37015,37022) = 51 × 111 × 6731 × 21 × 1071 × 1731
LCM(37015,37022) = 1370369330
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