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What is the Least Common Multiple of 70510 and 70530?

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 70510 and 70530 is 497307030.

LCM(70510,70530) = 497307030

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Least Common Multiple of 70510 and 70530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70510 and 70530, than apply into the LCM equation.

GCF(70510,70530) = 10
LCM(70510,70530) = ( 70510 × 70530) / 10
LCM(70510,70530) = 4973070300 / 10
LCM(70510,70530) = 497307030

Least Common Multiple (LCM) of 70510 and 70530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70510 and 70530. First we will calculate the prime factors of 70510 and 70530.

Prime Factorization of 70510

Prime factors of 70510 are 2, 5, 11, 641. Prime factorization of 70510 in exponential form is:

70510 = 21 × 51 × 111 × 6411

Prime Factorization of 70530

Prime factors of 70530 are 2, 3, 5, 2351. Prime factorization of 70530 in exponential form is:

70530 = 21 × 31 × 51 × 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 70510 and 70530.

LCM(70510,70530) = 21 × 51 × 111 × 6411 × 31 × 23511
LCM(70510,70530) = 497307030