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What is the Least Common Multiple of 55146 and 55152?

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 55146 and 55152 is 506902032.

LCM(55146,55152) = 506902032

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Least Common Multiple of 55146 and 55152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55146 and 55152, than apply into the LCM equation.

GCF(55146,55152) = 6
LCM(55146,55152) = ( 55146 × 55152) / 6
LCM(55146,55152) = 3041412192 / 6
LCM(55146,55152) = 506902032

Least Common Multiple (LCM) of 55146 and 55152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55146 and 55152. First we will calculate the prime factors of 55146 and 55152.

Prime Factorization of 55146

Prime factors of 55146 are 2, 3, 7, 13, 101. Prime factorization of 55146 in exponential form is:

55146 = 21 × 31 × 71 × 131 × 1011

Prime Factorization of 55152

Prime factors of 55152 are 2, 3, 383. Prime factorization of 55152 in exponential form is:

55152 = 24 × 32 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 55146 and 55152.

LCM(55146,55152) = 24 × 32 × 71 × 131 × 1011 × 3831
LCM(55146,55152) = 506902032