What is the Least Common Multiple of 84442 and 84455?
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 84442 and 84455 is 7131549110.
LCM(84442,84455) = 7131549110
Least Common Multiple of 84442 and 84455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84442 and 84455, than apply into the LCM equation.
GCF(84442,84455) = 1
LCM(84442,84455) = ( 84442 × 84455) / 1
LCM(84442,84455) = 7131549110 / 1
LCM(84442,84455) = 7131549110
Least Common Multiple (LCM) of 84442 and 84455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84442 and 84455. First we will calculate the prime factors of 84442 and 84455.
Prime Factorization of 84442
Prime factors of 84442 are 2, 42221. Prime factorization of 84442 in exponential form is:
84442 = 21 × 422211
Prime Factorization of 84455
Prime factors of 84455 are 5, 7, 19, 127. Prime factorization of 84455 in exponential form is:
84455 = 51 × 71 × 191 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 84442 and 84455.
LCM(84442,84455) = 21 × 422211 × 51 × 71 × 191 × 1271
LCM(84442,84455) = 7131549110
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