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What is the Least Common Multiple of 55235 and 55251?

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 55235 and 55251 is 3051788985.

LCM(55235,55251) = 3051788985

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Least Common Multiple of 55235 and 55251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55235 and 55251, than apply into the LCM equation.

GCF(55235,55251) = 1
LCM(55235,55251) = ( 55235 × 55251) / 1
LCM(55235,55251) = 3051788985 / 1
LCM(55235,55251) = 3051788985

Least Common Multiple (LCM) of 55235 and 55251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55235 and 55251. First we will calculate the prime factors of 55235 and 55251.

Prime Factorization of 55235

Prime factors of 55235 are 5, 11047. Prime factorization of 55235 in exponential form is:

55235 = 51 × 110471

Prime Factorization of 55251

Prime factors of 55251 are 3, 7, 877. Prime factorization of 55251 in exponential form is:

55251 = 32 × 71 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 55235 and 55251.

LCM(55235,55251) = 51 × 110471 × 32 × 71 × 8771
LCM(55235,55251) = 3051788985