What is the Least Common Multiple of 93220 and 93226?
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 93220 and 93226 is 4345263860.
LCM(93220,93226) = 4345263860
Least Common Multiple of 93220 and 93226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93220 and 93226, than apply into the LCM equation.
GCF(93220,93226) = 2
LCM(93220,93226) = ( 93220 × 93226) / 2
LCM(93220,93226) = 8690527720 / 2
LCM(93220,93226) = 4345263860
Least Common Multiple (LCM) of 93220 and 93226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93220 and 93226. First we will calculate the prime factors of 93220 and 93226.
Prime Factorization of 93220
Prime factors of 93220 are 2, 5, 59, 79. Prime factorization of 93220 in exponential form is:
93220 = 22 × 51 × 591 × 791
Prime Factorization of 93226
Prime factors of 93226 are 2, 7, 6659. Prime factorization of 93226 in exponential form is:
93226 = 21 × 71 × 66591
Now multiplying the highest exponent prime factors to calculate the LCM of 93220 and 93226.
LCM(93220,93226) = 22 × 51 × 591 × 791 × 71 × 66591
LCM(93220,93226) = 4345263860
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