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What is the Least Common Multiple of 64490 and 64505?

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 64505 is 831985490.

LCM(64490,64505) = 831985490

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Least Common Multiple of 64490 and 64505 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 64505, than apply into the LCM equation.

GCF(64490,64505) = 5
LCM(64490,64505) = ( 64490 × 64505) / 5
LCM(64490,64505) = 4159927450 / 5
LCM(64490,64505) = 831985490

Least Common Multiple (LCM) of 64490 and 64505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64490 and 64505. First we will calculate the prime factors of 64490 and 64505.

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 64505

Prime factors of 64505 are 5, 7, 19, 97. Prime factorization of 64505 in exponential form is:

64505 = 51 × 71 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 64490 and 64505.

LCM(64490,64505) = 21 × 51 × 64491 × 71 × 191 × 971
LCM(64490,64505) = 831985490