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What is the Least Common Multiple of 55877 and 55892?

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 55877 and 55892 is 3123077284.

LCM(55877,55892) = 3123077284

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Least Common Multiple of 55877 and 55892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55877 and 55892, than apply into the LCM equation.

GCF(55877,55892) = 1
LCM(55877,55892) = ( 55877 × 55892) / 1
LCM(55877,55892) = 3123077284 / 1
LCM(55877,55892) = 3123077284

Least Common Multiple (LCM) of 55877 and 55892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55877 and 55892. First we will calculate the prime factors of 55877 and 55892.

Prime Factorization of 55877

Prime factors of 55877 are 71, 787. Prime factorization of 55877 in exponential form is:

55877 = 711 × 7871

Prime Factorization of 55892

Prime factors of 55892 are 2, 89, 157. Prime factorization of 55892 in exponential form is:

55892 = 22 × 891 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 55877 and 55892.

LCM(55877,55892) = 711 × 7871 × 22 × 891 × 1571
LCM(55877,55892) = 3123077284