What is the Least Common Multiple of 54817 and 54824?
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 54817 and 54824 is 429326744.
LCM(54817,54824) = 429326744
Least Common Multiple of 54817 and 54824 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54817 and 54824, than apply into the LCM equation.
GCF(54817,54824) = 7
LCM(54817,54824) = ( 54817 × 54824) / 7
LCM(54817,54824) = 3005287208 / 7
LCM(54817,54824) = 429326744
Least Common Multiple (LCM) of 54817 and 54824 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54817 and 54824. First we will calculate the prime factors of 54817 and 54824.
Prime Factorization of 54817
Prime factors of 54817 are 7, 41, 191. Prime factorization of 54817 in exponential form is:
54817 = 71 × 411 × 1911
Prime Factorization of 54824
Prime factors of 54824 are 2, 7, 11, 89. Prime factorization of 54824 in exponential form is:
54824 = 23 × 71 × 111 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 54817 and 54824.
LCM(54817,54824) = 71 × 411 × 1911 × 23 × 111 × 891
LCM(54817,54824) = 429326744
Related Least Common Multiples of 54817
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Related Least Common Multiples of 54824
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- LCM of 54824 and 54830
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