What is the Least Common Multiple of 52034 and 52041?
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 52034 and 52041 is 2707901394.
LCM(52034,52041) = 2707901394
Least Common Multiple of 52034 and 52041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52034 and 52041, than apply into the LCM equation.
GCF(52034,52041) = 1
LCM(52034,52041) = ( 52034 × 52041) / 1
LCM(52034,52041) = 2707901394 / 1
LCM(52034,52041) = 2707901394
Least Common Multiple (LCM) of 52034 and 52041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52034 and 52041. First we will calculate the prime factors of 52034 and 52041.
Prime Factorization of 52034
Prime factors of 52034 are 2, 26017. Prime factorization of 52034 in exponential form is:
52034 = 21 × 260171
Prime Factorization of 52041
Prime factors of 52041 are 3, 11, 19, 83. Prime factorization of 52041 in exponential form is:
52041 = 31 × 111 × 191 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 52034 and 52041.
LCM(52034,52041) = 21 × 260171 × 31 × 111 × 191 × 831
LCM(52034,52041) = 2707901394
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