What is the Least Common Multiple of 54832 and 54837?
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 54832 and 54837 is 3006822384.
LCM(54832,54837) = 3006822384
Least Common Multiple of 54832 and 54837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54832 and 54837, than apply into the LCM equation.
GCF(54832,54837) = 1
LCM(54832,54837) = ( 54832 × 54837) / 1
LCM(54832,54837) = 3006822384 / 1
LCM(54832,54837) = 3006822384
Least Common Multiple (LCM) of 54832 and 54837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54832 and 54837. First we will calculate the prime factors of 54832 and 54837.
Prime Factorization of 54832
Prime factors of 54832 are 2, 23, 149. Prime factorization of 54832 in exponential form is:
54832 = 24 × 231 × 1491
Prime Factorization of 54837
Prime factors of 54837 are 3, 677. Prime factorization of 54837 in exponential form is:
54837 = 34 × 6771
Now multiplying the highest exponent prime factors to calculate the LCM of 54832 and 54837.
LCM(54832,54837) = 24 × 231 × 1491 × 34 × 6771
LCM(54832,54837) = 3006822384
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Related Least Common Multiples of 54837
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