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What is the Least Common Multiple of 64070 and 64090?

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 64070 and 64090 is 410624630.

LCM(64070,64090) = 410624630

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Least Common Multiple of 64070 and 64090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64070 and 64090, than apply into the LCM equation.

GCF(64070,64090) = 10
LCM(64070,64090) = ( 64070 × 64090) / 10
LCM(64070,64090) = 4106246300 / 10
LCM(64070,64090) = 410624630

Least Common Multiple (LCM) of 64070 and 64090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64070 and 64090. First we will calculate the prime factors of 64070 and 64090.

Prime Factorization of 64070

Prime factors of 64070 are 2, 5, 43, 149. Prime factorization of 64070 in exponential form is:

64070 = 21 × 51 × 431 × 1491

Prime Factorization of 64090

Prime factors of 64090 are 2, 5, 13, 17, 29. Prime factorization of 64090 in exponential form is:

64090 = 21 × 51 × 131 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 64070 and 64090.

LCM(64070,64090) = 21 × 51 × 431 × 1491 × 131 × 171 × 291
LCM(64070,64090) = 410624630