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What is the Least Common Multiple of 66898 and 66915?

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 66898 and 66915 is 4476479670.

LCM(66898,66915) = 4476479670

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Least Common Multiple of 66898 and 66915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66898 and 66915, than apply into the LCM equation.

GCF(66898,66915) = 1
LCM(66898,66915) = ( 66898 × 66915) / 1
LCM(66898,66915) = 4476479670 / 1
LCM(66898,66915) = 4476479670

Least Common Multiple (LCM) of 66898 and 66915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66898 and 66915. First we will calculate the prime factors of 66898 and 66915.

Prime Factorization of 66898

Prime factors of 66898 are 2, 13, 31, 83. Prime factorization of 66898 in exponential form is:

66898 = 21 × 131 × 311 × 831

Prime Factorization of 66915

Prime factors of 66915 are 3, 5, 1487. Prime factorization of 66915 in exponential form is:

66915 = 32 × 51 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 66898 and 66915.

LCM(66898,66915) = 21 × 131 × 311 × 831 × 32 × 51 × 14871
LCM(66898,66915) = 4476479670