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What is the Least Common Multiple of 64691 and 64708?

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 64691 and 64708 is 4186025228.

LCM(64691,64708) = 4186025228

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Least Common Multiple of 64691 and 64708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64691 and 64708, than apply into the LCM equation.

GCF(64691,64708) = 1
LCM(64691,64708) = ( 64691 × 64708) / 1
LCM(64691,64708) = 4186025228 / 1
LCM(64691,64708) = 4186025228

Least Common Multiple (LCM) of 64691 and 64708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64691 and 64708. First we will calculate the prime factors of 64691 and 64708.

Prime Factorization of 64691

Prime factors of 64691 are 11, 5881. Prime factorization of 64691 in exponential form is:

64691 = 111 × 58811

Prime Factorization of 64708

Prime factors of 64708 are 2, 7, 2311. Prime factorization of 64708 in exponential form is:

64708 = 22 × 71 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 64691 and 64708.

LCM(64691,64708) = 111 × 58811 × 22 × 71 × 23111
LCM(64691,64708) = 4186025228