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What is the Least Common Multiple of 55935 and 55948?

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 55935 and 55948 is 3129451380.

LCM(55935,55948) = 3129451380

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Least Common Multiple of 55935 and 55948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55935 and 55948, than apply into the LCM equation.

GCF(55935,55948) = 1
LCM(55935,55948) = ( 55935 × 55948) / 1
LCM(55935,55948) = 3129451380 / 1
LCM(55935,55948) = 3129451380

Least Common Multiple (LCM) of 55935 and 55948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55935 and 55948. First we will calculate the prime factors of 55935 and 55948.

Prime Factorization of 55935

Prime factors of 55935 are 3, 5, 11, 113. Prime factorization of 55935 in exponential form is:

55935 = 32 × 51 × 111 × 1131

Prime Factorization of 55948

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

55948 = 22 × 711 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 55935 and 55948.

LCM(55935,55948) = 32 × 51 × 111 × 1131 × 22 × 711 × 1971
LCM(55935,55948) = 3129451380