What is the Least Common Multiple of 93212 and 93222?
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 93212 and 93222 is 4344704532.
LCM(93212,93222) = 4344704532
Least Common Multiple of 93212 and 93222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93212 and 93222, than apply into the LCM equation.
GCF(93212,93222) = 2
LCM(93212,93222) = ( 93212 × 93222) / 2
LCM(93212,93222) = 8689409064 / 2
LCM(93212,93222) = 4344704532
Least Common Multiple (LCM) of 93212 and 93222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93212 and 93222. First we will calculate the prime factors of 93212 and 93222.
Prime Factorization of 93212
Prime factors of 93212 are 2, 7, 3329. Prime factorization of 93212 in exponential form is:
93212 = 22 × 71 × 33291
Prime Factorization of 93222
Prime factors of 93222 are 2, 3, 5179. Prime factorization of 93222 in exponential form is:
93222 = 21 × 32 × 51791
Now multiplying the highest exponent prime factors to calculate the LCM of 93212 and 93222.
LCM(93212,93222) = 22 × 71 × 33291 × 32 × 51791
LCM(93212,93222) = 4344704532
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