What is the Least Common Multiple of 89216 and 89228?
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 89216 and 89228 is 1990141312.
LCM(89216,89228) = 1990141312
Least Common Multiple of 89216 and 89228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89216 and 89228, than apply into the LCM equation.
GCF(89216,89228) = 4
LCM(89216,89228) = ( 89216 × 89228) / 4
LCM(89216,89228) = 7960565248 / 4
LCM(89216,89228) = 1990141312
Least Common Multiple (LCM) of 89216 and 89228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89216 and 89228. First we will calculate the prime factors of 89216 and 89228.
Prime Factorization of 89216
Prime factors of 89216 are 2, 17, 41. Prime factorization of 89216 in exponential form is:
89216 = 27 × 171 × 411
Prime Factorization of 89228
Prime factors of 89228 are 2, 22307. Prime factorization of 89228 in exponential form is:
89228 = 22 × 223071
Now multiplying the highest exponent prime factors to calculate the LCM of 89216 and 89228.
LCM(89216,89228) = 27 × 171 × 411 × 223071
LCM(89216,89228) = 1990141312
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Related Least Common Multiples of 89228
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