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What is the Least Common Multiple of 54421 and 54430?

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 54421 and 54430 is 2962135030.

LCM(54421,54430) = 2962135030

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Least Common Multiple of 54421 and 54430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54421 and 54430, than apply into the LCM equation.

GCF(54421,54430) = 1
LCM(54421,54430) = ( 54421 × 54430) / 1
LCM(54421,54430) = 2962135030 / 1
LCM(54421,54430) = 2962135030

Least Common Multiple (LCM) of 54421 and 54430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54421 and 54430. First we will calculate the prime factors of 54421 and 54430.

Prime Factorization of 54421

Prime factors of 54421 are 54421. Prime factorization of 54421 in exponential form is:

54421 = 544211

Prime Factorization of 54430

Prime factors of 54430 are 2, 5, 5443. Prime factorization of 54430 in exponential form is:

54430 = 21 × 51 × 54431

Now multiplying the highest exponent prime factors to calculate the LCM of 54421 and 54430.

LCM(54421,54430) = 544211 × 21 × 51 × 54431
LCM(54421,54430) = 2962135030