What is the Least Common Multiple of 79255 and 79262?
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 79255 and 79262 is 6281909810.
LCM(79255,79262) = 6281909810
Least Common Multiple of 79255 and 79262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79255 and 79262, than apply into the LCM equation.
GCF(79255,79262) = 1
LCM(79255,79262) = ( 79255 × 79262) / 1
LCM(79255,79262) = 6281909810 / 1
LCM(79255,79262) = 6281909810
Least Common Multiple (LCM) of 79255 and 79262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79255 and 79262. First we will calculate the prime factors of 79255 and 79262.
Prime Factorization of 79255
Prime factors of 79255 are 5, 11, 131. Prime factorization of 79255 in exponential form is:
79255 = 51 × 112 × 1311
Prime Factorization of 79262
Prime factors of 79262 are 2, 39631. Prime factorization of 79262 in exponential form is:
79262 = 21 × 396311
Now multiplying the highest exponent prime factors to calculate the LCM of 79255 and 79262.
LCM(79255,79262) = 51 × 112 × 1311 × 21 × 396311
LCM(79255,79262) = 6281909810
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