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What is the Least Common Multiple of 55424 and 55444?

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 55424 and 55444 is 768232064.

LCM(55424,55444) = 768232064

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Least Common Multiple of 55424 and 55444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55424 and 55444, than apply into the LCM equation.

GCF(55424,55444) = 4
LCM(55424,55444) = ( 55424 × 55444) / 4
LCM(55424,55444) = 3072928256 / 4
LCM(55424,55444) = 768232064

Least Common Multiple (LCM) of 55424 and 55444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55424 and 55444. First we will calculate the prime factors of 55424 and 55444.

Prime Factorization of 55424

Prime factors of 55424 are 2, 433. Prime factorization of 55424 in exponential form is:

55424 = 27 × 4331

Prime Factorization of 55444

Prime factors of 55444 are 2, 83, 167. Prime factorization of 55444 in exponential form is:

55444 = 22 × 831 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 55424 and 55444.

LCM(55424,55444) = 27 × 4331 × 831 × 1671
LCM(55424,55444) = 768232064