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What is the Least Common Multiple of 67510 and 67530?

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 67510 and 67530 is 455895030.

LCM(67510,67530) = 455895030

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Least Common Multiple of 67510 and 67530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67510 and 67530, than apply into the LCM equation.

GCF(67510,67530) = 10
LCM(67510,67530) = ( 67510 × 67530) / 10
LCM(67510,67530) = 4558950300 / 10
LCM(67510,67530) = 455895030

Least Common Multiple (LCM) of 67510 and 67530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67510 and 67530. First we will calculate the prime factors of 67510 and 67530.

Prime Factorization of 67510

Prime factors of 67510 are 2, 5, 43, 157. Prime factorization of 67510 in exponential form is:

67510 = 21 × 51 × 431 × 1571

Prime Factorization of 67530

Prime factors of 67530 are 2, 3, 5, 2251. Prime factorization of 67530 in exponential form is:

67530 = 21 × 31 × 51 × 22511

Now multiplying the highest exponent prime factors to calculate the LCM of 67510 and 67530.

LCM(67510,67530) = 21 × 51 × 431 × 1571 × 31 × 22511
LCM(67510,67530) = 455895030