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What is the Least Common Multiple of 55651 and 55660?

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 55651 and 55660 is 3097534660.

LCM(55651,55660) = 3097534660

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Least Common Multiple of 55651 and 55660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55651 and 55660, than apply into the LCM equation.

GCF(55651,55660) = 1
LCM(55651,55660) = ( 55651 × 55660) / 1
LCM(55651,55660) = 3097534660 / 1
LCM(55651,55660) = 3097534660

Least Common Multiple (LCM) of 55651 and 55660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55651 and 55660. First we will calculate the prime factors of 55651 and 55660.

Prime Factorization of 55651

Prime factors of 55651 are 19, 29, 101. Prime factorization of 55651 in exponential form is:

55651 = 191 × 291 × 1011

Prime Factorization of 55660

Prime factors of 55660 are 2, 5, 11, 23. Prime factorization of 55660 in exponential form is:

55660 = 22 × 51 × 112 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 55651 and 55660.

LCM(55651,55660) = 191 × 291 × 1011 × 22 × 51 × 112 × 231
LCM(55651,55660) = 3097534660