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What is the Least Common Multiple of 54148 and 54156?

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 54148 and 54156 is 733109772.

LCM(54148,54156) = 733109772

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Least Common Multiple of 54148 and 54156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54148 and 54156, than apply into the LCM equation.

GCF(54148,54156) = 4
LCM(54148,54156) = ( 54148 × 54156) / 4
LCM(54148,54156) = 2932439088 / 4
LCM(54148,54156) = 733109772

Least Common Multiple (LCM) of 54148 and 54156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54148 and 54156. First we will calculate the prime factors of 54148 and 54156.

Prime Factorization of 54148

Prime factors of 54148 are 2, 13537. Prime factorization of 54148 in exponential form is:

54148 = 22 × 135371

Prime Factorization of 54156

Prime factors of 54156 are 2, 3, 4513. Prime factorization of 54156 in exponential form is:

54156 = 22 × 31 × 45131

Now multiplying the highest exponent prime factors to calculate the LCM of 54148 and 54156.

LCM(54148,54156) = 22 × 135371 × 31 × 45131
LCM(54148,54156) = 733109772