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What is the Least Common Multiple of 54483 and 54488?

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 54483 and 54488 is 2968669704.

LCM(54483,54488) = 2968669704

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Least Common Multiple of 54483 and 54488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54483 and 54488, than apply into the LCM equation.

GCF(54483,54488) = 1
LCM(54483,54488) = ( 54483 × 54488) / 1
LCM(54483,54488) = 2968669704 / 1
LCM(54483,54488) = 2968669704

Least Common Multiple (LCM) of 54483 and 54488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54483 and 54488. First we will calculate the prime factors of 54483 and 54488.

Prime Factorization of 54483

Prime factors of 54483 are 3, 11, 13, 127. Prime factorization of 54483 in exponential form is:

54483 = 31 × 111 × 131 × 1271

Prime Factorization of 54488

Prime factors of 54488 are 2, 7, 139. Prime factorization of 54488 in exponential form is:

54488 = 23 × 72 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 54483 and 54488.

LCM(54483,54488) = 31 × 111 × 131 × 1271 × 23 × 72 × 1391
LCM(54483,54488) = 2968669704