What is the Least Common Multiple of 38418 and 38435?
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 38418 and 38435 is 1476595830.
LCM(38418,38435) = 1476595830
Least Common Multiple of 38418 and 38435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38418 and 38435, than apply into the LCM equation.
GCF(38418,38435) = 1
LCM(38418,38435) = ( 38418 × 38435) / 1
LCM(38418,38435) = 1476595830 / 1
LCM(38418,38435) = 1476595830
Least Common Multiple (LCM) of 38418 and 38435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38418 and 38435. First we will calculate the prime factors of 38418 and 38435.
Prime Factorization of 38418
Prime factors of 38418 are 2, 3, 19, 337. Prime factorization of 38418 in exponential form is:
38418 = 21 × 31 × 191 × 3371
Prime Factorization of 38435
Prime factors of 38435 are 5, 7687. Prime factorization of 38435 in exponential form is:
38435 = 51 × 76871
Now multiplying the highest exponent prime factors to calculate the LCM of 38418 and 38435.
LCM(38418,38435) = 21 × 31 × 191 × 3371 × 51 × 76871
LCM(38418,38435) = 1476595830
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