What is the Least Common Multiple of 52418 and 52437?
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 52418 and 52437 is 2748642666.
LCM(52418,52437) = 2748642666
Least Common Multiple of 52418 and 52437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52418 and 52437, than apply into the LCM equation.
GCF(52418,52437) = 1
LCM(52418,52437) = ( 52418 × 52437) / 1
LCM(52418,52437) = 2748642666 / 1
LCM(52418,52437) = 2748642666
Least Common Multiple (LCM) of 52418 and 52437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52418 and 52437. First we will calculate the prime factors of 52418 and 52437.
Prime Factorization of 52418
Prime factors of 52418 are 2, 26209. Prime factorization of 52418 in exponential form is:
52418 = 21 × 262091
Prime Factorization of 52437
Prime factors of 52437 are 3, 7, 11, 227. Prime factorization of 52437 in exponential form is:
52437 = 31 × 71 × 111 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 52418 and 52437.
LCM(52418,52437) = 21 × 262091 × 31 × 71 × 111 × 2271
LCM(52418,52437) = 2748642666
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