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What is the Least Common Multiple of 55950 and 55960?

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 55950 and 55960 is 313096200.

LCM(55950,55960) = 313096200

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Least Common Multiple of 55950 and 55960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55950 and 55960, than apply into the LCM equation.

GCF(55950,55960) = 10
LCM(55950,55960) = ( 55950 × 55960) / 10
LCM(55950,55960) = 3130962000 / 10
LCM(55950,55960) = 313096200

Least Common Multiple (LCM) of 55950 and 55960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55950 and 55960. First we will calculate the prime factors of 55950 and 55960.

Prime Factorization of 55950

Prime factors of 55950 are 2, 3, 5, 373. Prime factorization of 55950 in exponential form is:

55950 = 21 × 31 × 52 × 3731

Prime Factorization of 55960

Prime factors of 55960 are 2, 5, 1399. Prime factorization of 55960 in exponential form is:

55960 = 23 × 51 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 55950 and 55960.

LCM(55950,55960) = 23 × 31 × 52 × 3731 × 13991
LCM(55950,55960) = 313096200