What is the Least Common Multiple of 38618 and 38627?
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 38618 and 38627 is 1491697486.
LCM(38618,38627) = 1491697486
Least Common Multiple of 38618 and 38627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38618 and 38627, than apply into the LCM equation.
GCF(38618,38627) = 1
LCM(38618,38627) = ( 38618 × 38627) / 1
LCM(38618,38627) = 1491697486 / 1
LCM(38618,38627) = 1491697486
Least Common Multiple (LCM) of 38618 and 38627 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38618 and 38627. First we will calculate the prime factors of 38618 and 38627.
Prime Factorization of 38618
Prime factors of 38618 are 2, 19309. Prime factorization of 38618 in exponential form is:
38618 = 21 × 193091
Prime Factorization of 38627
Prime factors of 38627 are 19, 107. Prime factorization of 38627 in exponential form is:
38627 = 192 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 38618 and 38627.
LCM(38618,38627) = 21 × 193091 × 192 × 1071
LCM(38618,38627) = 1491697486
Related Least Common Multiples of 38618
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Related Least Common Multiples of 38627
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