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What is the Least Common Multiple of 55662 and 55671?

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 55662 and 55671 is 1032919734.

LCM(55662,55671) = 1032919734

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Least Common Multiple of 55662 and 55671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55662 and 55671, than apply into the LCM equation.

GCF(55662,55671) = 3
LCM(55662,55671) = ( 55662 × 55671) / 3
LCM(55662,55671) = 3098759202 / 3
LCM(55662,55671) = 1032919734

Least Common Multiple (LCM) of 55662 and 55671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55662 and 55671. First we will calculate the prime factors of 55662 and 55671.

Prime Factorization of 55662

Prime factors of 55662 are 2, 3, 9277. Prime factorization of 55662 in exponential form is:

55662 = 21 × 31 × 92771

Prime Factorization of 55671

Prime factors of 55671 are 3, 7, 11, 241. Prime factorization of 55671 in exponential form is:

55671 = 31 × 71 × 111 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 55662 and 55671.

LCM(55662,55671) = 21 × 31 × 92771 × 71 × 111 × 2411
LCM(55662,55671) = 1032919734