What is the Least Common Multiple of 30374 and 30386?
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 30374 and 30386 is 461472182.
LCM(30374,30386) = 461472182
Least Common Multiple of 30374 and 30386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30374 and 30386, than apply into the LCM equation.
GCF(30374,30386) = 2
LCM(30374,30386) = ( 30374 × 30386) / 2
LCM(30374,30386) = 922944364 / 2
LCM(30374,30386) = 461472182
Least Common Multiple (LCM) of 30374 and 30386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30374 and 30386. First we will calculate the prime factors of 30374 and 30386.
Prime Factorization of 30374
Prime factors of 30374 are 2, 15187. Prime factorization of 30374 in exponential form is:
30374 = 21 × 151871
Prime Factorization of 30386
Prime factors of 30386 are 2, 15193. Prime factorization of 30386 in exponential form is:
30386 = 21 × 151931
Now multiplying the highest exponent prime factors to calculate the LCM of 30374 and 30386.
LCM(30374,30386) = 21 × 151871 × 151931
LCM(30374,30386) = 461472182
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