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What is the Least Common Multiple of 27148 and 27152?

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 27148 and 27152 is 184280624.

LCM(27148,27152) = 184280624

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Least Common Multiple of 27148 and 27152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27148 and 27152, than apply into the LCM equation.

GCF(27148,27152) = 4
LCM(27148,27152) = ( 27148 × 27152) / 4
LCM(27148,27152) = 737122496 / 4
LCM(27148,27152) = 184280624

Least Common Multiple (LCM) of 27148 and 27152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27148 and 27152. First we will calculate the prime factors of 27148 and 27152.

Prime Factorization of 27148

Prime factors of 27148 are 2, 11, 617. Prime factorization of 27148 in exponential form is:

27148 = 22 × 111 × 6171

Prime Factorization of 27152

Prime factors of 27152 are 2, 1697. Prime factorization of 27152 in exponential form is:

27152 = 24 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 27148 and 27152.

LCM(27148,27152) = 24 × 111 × 6171 × 16971
LCM(27148,27152) = 184280624