What is the Least Common Multiple of 38324 and 38334?
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 38324 and 38334 is 734556108.
LCM(38324,38334) = 734556108
Least Common Multiple of 38324 and 38334 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38324 and 38334, than apply into the LCM equation.
GCF(38324,38334) = 2
LCM(38324,38334) = ( 38324 × 38334) / 2
LCM(38324,38334) = 1469112216 / 2
LCM(38324,38334) = 734556108
Least Common Multiple (LCM) of 38324 and 38334 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38324 and 38334. First we will calculate the prime factors of 38324 and 38334.
Prime Factorization of 38324
Prime factors of 38324 are 2, 11, 13, 67. Prime factorization of 38324 in exponential form is:
38324 = 22 × 111 × 131 × 671
Prime Factorization of 38334
Prime factors of 38334 are 2, 3, 6389. Prime factorization of 38334 in exponential form is:
38334 = 21 × 31 × 63891
Now multiplying the highest exponent prime factors to calculate the LCM of 38324 and 38334.
LCM(38324,38334) = 22 × 111 × 131 × 671 × 31 × 63891
LCM(38324,38334) = 734556108
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