What is the Least Common Multiple of 38343 and 38350?
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 38343 and 38350 is 1470454050.
LCM(38343,38350) = 1470454050
Least Common Multiple of 38343 and 38350 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38343 and 38350, than apply into the LCM equation.
GCF(38343,38350) = 1
LCM(38343,38350) = ( 38343 × 38350) / 1
LCM(38343,38350) = 1470454050 / 1
LCM(38343,38350) = 1470454050
Least Common Multiple (LCM) of 38343 and 38350 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38343 and 38350. First we will calculate the prime factors of 38343 and 38350.
Prime Factorization of 38343
Prime factors of 38343 are 3, 12781. Prime factorization of 38343 in exponential form is:
38343 = 31 × 127811
Prime Factorization of 38350
Prime factors of 38350 are 2, 5, 13, 59. Prime factorization of 38350 in exponential form is:
38350 = 21 × 52 × 131 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 38343 and 38350.
LCM(38343,38350) = 31 × 127811 × 21 × 52 × 131 × 591
LCM(38343,38350) = 1470454050
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