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What is the Least Common Multiple of 55506 and 55522?

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 55506 and 55522 is 1540902066.

LCM(55506,55522) = 1540902066

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Least Common Multiple of 55506 and 55522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55506 and 55522, than apply into the LCM equation.

GCF(55506,55522) = 2
LCM(55506,55522) = ( 55506 × 55522) / 2
LCM(55506,55522) = 3081804132 / 2
LCM(55506,55522) = 1540902066

Least Common Multiple (LCM) of 55506 and 55522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55506 and 55522. First we will calculate the prime factors of 55506 and 55522.

Prime Factorization of 55506

Prime factors of 55506 are 2, 3, 11, 29. Prime factorization of 55506 in exponential form is:

55506 = 21 × 31 × 111 × 292

Prime Factorization of 55522

Prime factors of 55522 are 2, 17, 23, 71. Prime factorization of 55522 in exponential form is:

55522 = 21 × 171 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 55506 and 55522.

LCM(55506,55522) = 21 × 31 × 111 × 292 × 171 × 231 × 711
LCM(55506,55522) = 1540902066