What is the Least Common Multiple of 79262 and 79267?
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 79262 and 79267 is 6282860954.
LCM(79262,79267) = 6282860954
Least Common Multiple of 79262 and 79267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79262 and 79267, than apply into the LCM equation.
GCF(79262,79267) = 1
LCM(79262,79267) = ( 79262 × 79267) / 1
LCM(79262,79267) = 6282860954 / 1
LCM(79262,79267) = 6282860954
Least Common Multiple (LCM) of 79262 and 79267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79262 and 79267. First we will calculate the prime factors of 79262 and 79267.
Prime Factorization of 79262
Prime factors of 79262 are 2, 39631. Prime factorization of 79262 in exponential form is:
79262 = 21 × 396311
Prime Factorization of 79267
Prime factors of 79267 are 31, 2557. Prime factorization of 79267 in exponential form is:
79267 = 311 × 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 79262 and 79267.
LCM(79262,79267) = 21 × 396311 × 311 × 25571
LCM(79262,79267) = 6282860954
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