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What is the Least Common Multiple of 30224 and 30244?

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 30224 and 30244 is 228523664.

LCM(30224,30244) = 228523664

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Least Common Multiple of 30224 and 30244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30224 and 30244, than apply into the LCM equation.

GCF(30224,30244) = 4
LCM(30224,30244) = ( 30224 × 30244) / 4
LCM(30224,30244) = 914094656 / 4
LCM(30224,30244) = 228523664

Least Common Multiple (LCM) of 30224 and 30244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30224 and 30244. First we will calculate the prime factors of 30224 and 30244.

Prime Factorization of 30224

Prime factors of 30224 are 2, 1889. Prime factorization of 30224 in exponential form is:

30224 = 24 × 18891

Prime Factorization of 30244

Prime factors of 30244 are 2, 7561. Prime factorization of 30244 in exponential form is:

30244 = 22 × 75611

Now multiplying the highest exponent prime factors to calculate the LCM of 30224 and 30244.

LCM(30224,30244) = 24 × 18891 × 75611
LCM(30224,30244) = 228523664