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What is the Least Common Multiple of 54832 and 54852?

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 54832 and 54852 is 751911216.

LCM(54832,54852) = 751911216

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Least Common Multiple of 54832 and 54852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54832 and 54852, than apply into the LCM equation.

GCF(54832,54852) = 4
LCM(54832,54852) = ( 54832 × 54852) / 4
LCM(54832,54852) = 3007644864 / 4
LCM(54832,54852) = 751911216

Least Common Multiple (LCM) of 54832 and 54852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54832 and 54852. First we will calculate the prime factors of 54832 and 54852.

Prime Factorization of 54832

Prime factors of 54832 are 2, 23, 149. Prime factorization of 54832 in exponential form is:

54832 = 24 × 231 × 1491

Prime Factorization of 54852

Prime factors of 54852 are 2, 3, 7, 653. Prime factorization of 54852 in exponential form is:

54852 = 22 × 31 × 71 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 54832 and 54852.

LCM(54832,54852) = 24 × 231 × 1491 × 31 × 71 × 6531
LCM(54832,54852) = 751911216