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What is the Least Common Multiple of 64030 and 64044?

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 64030 and 64044 is 2050368660.

LCM(64030,64044) = 2050368660

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Least Common Multiple of 64030 and 64044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64030 and 64044, than apply into the LCM equation.

GCF(64030,64044) = 2
LCM(64030,64044) = ( 64030 × 64044) / 2
LCM(64030,64044) = 4100737320 / 2
LCM(64030,64044) = 2050368660

Least Common Multiple (LCM) of 64030 and 64044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64030 and 64044. First we will calculate the prime factors of 64030 and 64044.

Prime Factorization of 64030

Prime factors of 64030 are 2, 5, 19, 337. Prime factorization of 64030 in exponential form is:

64030 = 21 × 51 × 191 × 3371

Prime Factorization of 64044

Prime factors of 64044 are 2, 3, 593. Prime factorization of 64044 in exponential form is:

64044 = 22 × 33 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 64030 and 64044.

LCM(64030,64044) = 22 × 51 × 191 × 3371 × 33 × 5931
LCM(64030,64044) = 2050368660