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What is the Least Common Multiple of 54625 and 54644?

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 54625 and 54644 is 157101500.

LCM(54625,54644) = 157101500

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Least Common Multiple of 54625 and 54644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54625 and 54644, than apply into the LCM equation.

GCF(54625,54644) = 19
LCM(54625,54644) = ( 54625 × 54644) / 19
LCM(54625,54644) = 2984928500 / 19
LCM(54625,54644) = 157101500

Least Common Multiple (LCM) of 54625 and 54644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54625 and 54644. First we will calculate the prime factors of 54625 and 54644.

Prime Factorization of 54625

Prime factors of 54625 are 5, 19, 23. Prime factorization of 54625 in exponential form is:

54625 = 53 × 191 × 231

Prime Factorization of 54644

Prime factors of 54644 are 2, 19, 719. Prime factorization of 54644 in exponential form is:

54644 = 22 × 191 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 54625 and 54644.

LCM(54625,54644) = 53 × 191 × 231 × 22 × 7191
LCM(54625,54644) = 157101500