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What is the Least Common Multiple of 30860 and 30864?

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 30860 and 30864 is 238115760.

LCM(30860,30864) = 238115760

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Least Common Multiple of 30860 and 30864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30860 and 30864, than apply into the LCM equation.

GCF(30860,30864) = 4
LCM(30860,30864) = ( 30860 × 30864) / 4
LCM(30860,30864) = 952463040 / 4
LCM(30860,30864) = 238115760

Least Common Multiple (LCM) of 30860 and 30864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30860 and 30864. First we will calculate the prime factors of 30860 and 30864.

Prime Factorization of 30860

Prime factors of 30860 are 2, 5, 1543. Prime factorization of 30860 in exponential form is:

30860 = 22 × 51 × 15431

Prime Factorization of 30864

Prime factors of 30864 are 2, 3, 643. Prime factorization of 30864 in exponential form is:

30864 = 24 × 31 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 30860 and 30864.

LCM(30860,30864) = 24 × 51 × 15431 × 31 × 6431
LCM(30860,30864) = 238115760