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What is the Least Common Multiple of 64490 and 64498?

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 64490 and 64498 is 2079738010.

LCM(64490,64498) = 2079738010

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Least Common Multiple of 64490 and 64498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64490 and 64498, than apply into the LCM equation.

GCF(64490,64498) = 2
LCM(64490,64498) = ( 64490 × 64498) / 2
LCM(64490,64498) = 4159476020 / 2
LCM(64490,64498) = 2079738010

Least Common Multiple (LCM) of 64490 and 64498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64490 and 64498. First we will calculate the prime factors of 64490 and 64498.

Prime Factorization of 64490

Prime factors of 64490 are 2, 5, 6449. Prime factorization of 64490 in exponential form is:

64490 = 21 × 51 × 64491

Prime Factorization of 64498

Prime factors of 64498 are 2, 7, 17, 271. Prime factorization of 64498 in exponential form is:

64498 = 21 × 71 × 171 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 64490 and 64498.

LCM(64490,64498) = 21 × 51 × 64491 × 71 × 171 × 2711
LCM(64490,64498) = 2079738010