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What is the Least Common Multiple of 54332 and 54352?

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 54332 and 54352 is 738263216.

LCM(54332,54352) = 738263216

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Least Common Multiple of 54332 and 54352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54332 and 54352, than apply into the LCM equation.

GCF(54332,54352) = 4
LCM(54332,54352) = ( 54332 × 54352) / 4
LCM(54332,54352) = 2953052864 / 4
LCM(54332,54352) = 738263216

Least Common Multiple (LCM) of 54332 and 54352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54332 and 54352. First we will calculate the prime factors of 54332 and 54352.

Prime Factorization of 54332

Prime factors of 54332 are 2, 17, 47. Prime factorization of 54332 in exponential form is:

54332 = 22 × 172 × 471

Prime Factorization of 54352

Prime factors of 54352 are 2, 43, 79. Prime factorization of 54352 in exponential form is:

54352 = 24 × 431 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 54332 and 54352.

LCM(54332,54352) = 24 × 172 × 471 × 431 × 791
LCM(54332,54352) = 738263216