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What is the Least Common Multiple of 55948 and 55956?

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 55948 and 55956 is 782656572.

LCM(55948,55956) = 782656572

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Least Common Multiple of 55948 and 55956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55948 and 55956, than apply into the LCM equation.

GCF(55948,55956) = 4
LCM(55948,55956) = ( 55948 × 55956) / 4
LCM(55948,55956) = 3130626288 / 4
LCM(55948,55956) = 782656572

Least Common Multiple (LCM) of 55948 and 55956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55948 and 55956. First we will calculate the prime factors of 55948 and 55956.

Prime Factorization of 55948

Prime factors of 55948 are 2, 71, 197. Prime factorization of 55948 in exponential form is:

55948 = 22 × 711 × 1971

Prime Factorization of 55956

Prime factors of 55956 are 2, 3, 4663. Prime factorization of 55956 in exponential form is:

55956 = 22 × 31 × 46631

Now multiplying the highest exponent prime factors to calculate the LCM of 55948 and 55956.

LCM(55948,55956) = 22 × 711 × 1971 × 31 × 46631
LCM(55948,55956) = 782656572