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What is the Least Common Multiple of 55970 and 55984?

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 55970 and 55984 is 1566712240.

LCM(55970,55984) = 1566712240

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Least Common Multiple of 55970 and 55984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55970 and 55984, than apply into the LCM equation.

GCF(55970,55984) = 2
LCM(55970,55984) = ( 55970 × 55984) / 2
LCM(55970,55984) = 3133424480 / 2
LCM(55970,55984) = 1566712240

Least Common Multiple (LCM) of 55970 and 55984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55970 and 55984. First we will calculate the prime factors of 55970 and 55984.

Prime Factorization of 55970

Prime factors of 55970 are 2, 5, 29, 193. Prime factorization of 55970 in exponential form is:

55970 = 21 × 51 × 291 × 1931

Prime Factorization of 55984

Prime factors of 55984 are 2, 3499. Prime factorization of 55984 in exponential form is:

55984 = 24 × 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 55970 and 55984.

LCM(55970,55984) = 24 × 51 × 291 × 1931 × 34991
LCM(55970,55984) = 1566712240