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What is the Least Common Multiple of 61608 and 61615?

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 61608 and 61615 is 3795976920.

LCM(61608,61615) = 3795976920

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Least Common Multiple of 61608 and 61615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61608 and 61615, than apply into the LCM equation.

GCF(61608,61615) = 1
LCM(61608,61615) = ( 61608 × 61615) / 1
LCM(61608,61615) = 3795976920 / 1
LCM(61608,61615) = 3795976920

Least Common Multiple (LCM) of 61608 and 61615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61608 and 61615. First we will calculate the prime factors of 61608 and 61615.

Prime Factorization of 61608

Prime factors of 61608 are 2, 3, 17, 151. Prime factorization of 61608 in exponential form is:

61608 = 23 × 31 × 171 × 1511

Prime Factorization of 61615

Prime factors of 61615 are 5, 12323. Prime factorization of 61615 in exponential form is:

61615 = 51 × 123231

Now multiplying the highest exponent prime factors to calculate the LCM of 61608 and 61615.

LCM(61608,61615) = 23 × 31 × 171 × 1511 × 51 × 123231
LCM(61608,61615) = 3795976920