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What is the Least Common Multiple of 55950 and 55968?

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 55968 is 521901600.

LCM(55950,55968) = 521901600

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Least Common Multiple of 55950 and 55968 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 55968, than apply into the LCM equation.

GCF(55950,55968) = 6
LCM(55950,55968) = ( 55950 × 55968) / 6
LCM(55950,55968) = 3131409600 / 6
LCM(55950,55968) = 521901600

Least Common Multiple (LCM) of 55950 and 55968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55950 and 55968. First we will calculate the prime factors of 55950 and 55968.

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 55968

Prime factors of 55968 are 2, 3, 11, 53. Prime factorization of 55968 in exponential form is:

55968 = 25 × 31 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 55950 and 55968.

LCM(55950,55968) = 25 × 31 × 52 × 3731 × 111 × 531
LCM(55950,55968) = 521901600