What is the Least Common Multiple of 52929 and 52942?
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 52929 and 52942 is 2802167118.
LCM(52929,52942) = 2802167118
Least Common Multiple of 52929 and 52942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52929 and 52942, than apply into the LCM equation.
GCF(52929,52942) = 1
LCM(52929,52942) = ( 52929 × 52942) / 1
LCM(52929,52942) = 2802167118 / 1
LCM(52929,52942) = 2802167118
Least Common Multiple (LCM) of 52929 and 52942 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52929 and 52942. First we will calculate the prime factors of 52929 and 52942.
Prime Factorization of 52929
Prime factors of 52929 are 3, 5881. Prime factorization of 52929 in exponential form is:
52929 = 32 × 58811
Prime Factorization of 52942
Prime factors of 52942 are 2, 103, 257. Prime factorization of 52942 in exponential form is:
52942 = 21 × 1031 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 52929 and 52942.
LCM(52929,52942) = 32 × 58811 × 21 × 1031 × 2571
LCM(52929,52942) = 2802167118
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