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What is the Least Common Multiple of 61904 and 61920?

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 61904 and 61920 is 239568480.

LCM(61904,61920) = 239568480

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Least Common Multiple of 61904 and 61920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61904 and 61920, than apply into the LCM equation.

GCF(61904,61920) = 16
LCM(61904,61920) = ( 61904 × 61920) / 16
LCM(61904,61920) = 3833095680 / 16
LCM(61904,61920) = 239568480

Least Common Multiple (LCM) of 61904 and 61920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61904 and 61920. First we will calculate the prime factors of 61904 and 61920.

Prime Factorization of 61904

Prime factors of 61904 are 2, 53, 73. Prime factorization of 61904 in exponential form is:

61904 = 24 × 531 × 731

Prime Factorization of 61920

Prime factors of 61920 are 2, 3, 5, 43. Prime factorization of 61920 in exponential form is:

61920 = 25 × 32 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 61904 and 61920.

LCM(61904,61920) = 25 × 531 × 731 × 32 × 51 × 431
LCM(61904,61920) = 239568480