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What is the Least Common Multiple of 4374 and 4380?

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 4374 and 4380 is 3193020.

LCM(4374,4380) = 3193020

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Least Common Multiple of 4374 and 4380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4374 and 4380, than apply into the LCM equation.

GCF(4374,4380) = 6
LCM(4374,4380) = ( 4374 × 4380) / 6
LCM(4374,4380) = 19158120 / 6
LCM(4374,4380) = 3193020

Least Common Multiple (LCM) of 4374 and 4380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4380. First we will calculate the prime factors of 4374 and 4380.

Prime Factorization of 4374

Prime factors of 4374 are 2, 3. Prime factorization of 4374 in exponential form is:

4374 = 21 × 37

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4380.

LCM(4374,4380) = 22 × 37 × 51 × 731
LCM(4374,4380) = 3193020