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What is the Least Common Multiple of 55970 and 55985?

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 55985 is 626696090.

LCM(55970,55985) = 626696090

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Least Common Multiple of 55970 and 55985 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 55985, than apply into the LCM equation.

GCF(55970,55985) = 5
LCM(55970,55985) = ( 55970 × 55985) / 5
LCM(55970,55985) = 3133480450 / 5
LCM(55970,55985) = 626696090

Least Common Multiple (LCM) of 55970 and 55985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55970 and 55985. First we will calculate the prime factors of 55970 and 55985.

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 55985

Prime factors of 55985 are 5, 11197. Prime factorization of 55985 in exponential form is:

55985 = 51 × 111971

Now multiplying the highest exponent prime factors to calculate the LCM of 55970 and 55985.

LCM(55970,55985) = 21 × 51 × 291 × 1931 × 111971
LCM(55970,55985) = 626696090