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What is the Least Common Multiple of 64812 and 64821?

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 64812 and 64821 is 1400392884.

LCM(64812,64821) = 1400392884

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Least Common Multiple of 64812 and 64821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64812 and 64821, than apply into the LCM equation.

GCF(64812,64821) = 3
LCM(64812,64821) = ( 64812 × 64821) / 3
LCM(64812,64821) = 4201178652 / 3
LCM(64812,64821) = 1400392884

Least Common Multiple (LCM) of 64812 and 64821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64812 and 64821. First we will calculate the prime factors of 64812 and 64821.

Prime Factorization of 64812

Prime factors of 64812 are 2, 3, 11, 491. Prime factorization of 64812 in exponential form is:

64812 = 22 × 31 × 111 × 4911

Prime Factorization of 64821

Prime factors of 64821 are 3, 17, 31, 41. Prime factorization of 64821 in exponential form is:

64821 = 31 × 171 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 64812 and 64821.

LCM(64812,64821) = 22 × 31 × 111 × 4911 × 171 × 311 × 411
LCM(64812,64821) = 1400392884