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What is the Least Common Multiple of 64981 and 64988?

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 64981 and 64988 is 603283604.

LCM(64981,64988) = 603283604

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Least Common Multiple of 64981 and 64988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64981 and 64988, than apply into the LCM equation.

GCF(64981,64988) = 7
LCM(64981,64988) = ( 64981 × 64988) / 7
LCM(64981,64988) = 4222985228 / 7
LCM(64981,64988) = 603283604

Least Common Multiple (LCM) of 64981 and 64988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64981 and 64988. First we will calculate the prime factors of 64981 and 64988.

Prime Factorization of 64981

Prime factors of 64981 are 7, 9283. Prime factorization of 64981 in exponential form is:

64981 = 71 × 92831

Prime Factorization of 64988

Prime factors of 64988 are 2, 7, 11, 211. Prime factorization of 64988 in exponential form is:

64988 = 22 × 71 × 111 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 64981 and 64988.

LCM(64981,64988) = 71 × 92831 × 22 × 111 × 2111
LCM(64981,64988) = 603283604