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What is the Least Common Multiple of 55626 and 55643?

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 55626 and 55643 is 3095197518.

LCM(55626,55643) = 3095197518

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Least Common Multiple of 55626 and 55643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55626 and 55643, than apply into the LCM equation.

GCF(55626,55643) = 1
LCM(55626,55643) = ( 55626 × 55643) / 1
LCM(55626,55643) = 3095197518 / 1
LCM(55626,55643) = 3095197518

Least Common Multiple (LCM) of 55626 and 55643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55626 and 55643. First we will calculate the prime factors of 55626 and 55643.

Prime Factorization of 55626

Prime factors of 55626 are 2, 3, 73, 127. Prime factorization of 55626 in exponential form is:

55626 = 21 × 31 × 731 × 1271

Prime Factorization of 55643

Prime factors of 55643 are 7, 7949. Prime factorization of 55643 in exponential form is:

55643 = 71 × 79491

Now multiplying the highest exponent prime factors to calculate the LCM of 55626 and 55643.

LCM(55626,55643) = 21 × 31 × 731 × 1271 × 71 × 79491
LCM(55626,55643) = 3095197518