What is the Least Common Multiple of 4380 and 4397?
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 4380 and 4397 is 19258860.
LCM(4380,4397) = 19258860
Least Common Multiple of 4380 and 4397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4380 and 4397, than apply into the LCM equation.
GCF(4380,4397) = 1
LCM(4380,4397) = ( 4380 × 4397) / 1
LCM(4380,4397) = 19258860 / 1
LCM(4380,4397) = 19258860
Least Common Multiple (LCM) of 4380 and 4397 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4380 and 4397. First we will calculate the prime factors of 4380 and 4397.
Prime Factorization of 4380
Prime factors of 4380 are 2, 3, 5, 73. Prime factorization of 4380 in exponential form is:
4380 = 22 × 31 × 51 × 731
Prime Factorization of 4397
Prime factors of 4397 are 4397. Prime factorization of 4397 in exponential form is:
4397 = 43971
Now multiplying the highest exponent prime factors to calculate the LCM of 4380 and 4397.
LCM(4380,4397) = 22 × 31 × 51 × 731 × 43971
LCM(4380,4397) = 19258860
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