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What is the Least Common Multiple of 54412 and 54428?

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 54412 and 54428 is 740384084.

LCM(54412,54428) = 740384084

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Least Common Multiple of 54412 and 54428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54412 and 54428, than apply into the LCM equation.

GCF(54412,54428) = 4
LCM(54412,54428) = ( 54412 × 54428) / 4
LCM(54412,54428) = 2961536336 / 4
LCM(54412,54428) = 740384084

Least Common Multiple (LCM) of 54412 and 54428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54412 and 54428. First we will calculate the prime factors of 54412 and 54428.

Prime Factorization of 54412

Prime factors of 54412 are 2, 61, 223. Prime factorization of 54412 in exponential form is:

54412 = 22 × 611 × 2231

Prime Factorization of 54428

Prime factors of 54428 are 2, 11, 1237. Prime factorization of 54428 in exponential form is:

54428 = 22 × 111 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 54412 and 54428.

LCM(54412,54428) = 22 × 611 × 2231 × 111 × 12371
LCM(54412,54428) = 740384084