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What is the Least Common Multiple of 64436 and 64452?

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 64436 and 64452 is 1038257268.

LCM(64436,64452) = 1038257268

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Least Common Multiple of 64436 and 64452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64436 and 64452, than apply into the LCM equation.

GCF(64436,64452) = 4
LCM(64436,64452) = ( 64436 × 64452) / 4
LCM(64436,64452) = 4153029072 / 4
LCM(64436,64452) = 1038257268

Least Common Multiple (LCM) of 64436 and 64452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64436 and 64452. First we will calculate the prime factors of 64436 and 64452.

Prime Factorization of 64436

Prime factors of 64436 are 2, 89, 181. Prime factorization of 64436 in exponential form is:

64436 = 22 × 891 × 1811

Prime Factorization of 64452

Prime factors of 64452 are 2, 3, 41, 131. Prime factorization of 64452 in exponential form is:

64452 = 22 × 31 × 411 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 64436 and 64452.

LCM(64436,64452) = 22 × 891 × 1811 × 31 × 411 × 1311
LCM(64436,64452) = 1038257268