What is the Least Common Multiple of 38354 and 38370?
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 38354 and 38370 is 735821490.
LCM(38354,38370) = 735821490
Least Common Multiple of 38354 and 38370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38354 and 38370, than apply into the LCM equation.
GCF(38354,38370) = 2
LCM(38354,38370) = ( 38354 × 38370) / 2
LCM(38354,38370) = 1471642980 / 2
LCM(38354,38370) = 735821490
Least Common Multiple (LCM) of 38354 and 38370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38354 and 38370. First we will calculate the prime factors of 38354 and 38370.
Prime Factorization of 38354
Prime factors of 38354 are 2, 127, 151. Prime factorization of 38354 in exponential form is:
38354 = 21 × 1271 × 1511
Prime Factorization of 38370
Prime factors of 38370 are 2, 3, 5, 1279. Prime factorization of 38370 in exponential form is:
38370 = 21 × 31 × 51 × 12791
Now multiplying the highest exponent prime factors to calculate the LCM of 38354 and 38370.
LCM(38354,38370) = 21 × 1271 × 1511 × 31 × 51 × 12791
LCM(38354,38370) = 735821490
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