What is the Least Common Multiple of 81246 and 81263?
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 81246 and 81263 is 6602293698.
LCM(81246,81263) = 6602293698
Least Common Multiple of 81246 and 81263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81246 and 81263, than apply into the LCM equation.
GCF(81246,81263) = 1
LCM(81246,81263) = ( 81246 × 81263) / 1
LCM(81246,81263) = 6602293698 / 1
LCM(81246,81263) = 6602293698
Least Common Multiple (LCM) of 81246 and 81263 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81246 and 81263. First we will calculate the prime factors of 81246 and 81263.
Prime Factorization of 81246
Prime factors of 81246 are 2, 3, 11, 1231. Prime factorization of 81246 in exponential form is:
81246 = 21 × 31 × 111 × 12311
Prime Factorization of 81263
Prime factors of 81263 are 7, 13, 19, 47. Prime factorization of 81263 in exponential form is:
81263 = 71 × 131 × 191 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 81246 and 81263.
LCM(81246,81263) = 21 × 31 × 111 × 12311 × 71 × 131 × 191 × 471
LCM(81246,81263) = 6602293698
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