What is the Least Common Multiple of 46216 and 46221?
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 46216 and 46221 is 2136149736.
LCM(46216,46221) = 2136149736
Least Common Multiple of 46216 and 46221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46216 and 46221, than apply into the LCM equation.
GCF(46216,46221) = 1
LCM(46216,46221) = ( 46216 × 46221) / 1
LCM(46216,46221) = 2136149736 / 1
LCM(46216,46221) = 2136149736
Least Common Multiple (LCM) of 46216 and 46221 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46216 and 46221. First we will calculate the prime factors of 46216 and 46221.
Prime Factorization of 46216
Prime factors of 46216 are 2, 53, 109. Prime factorization of 46216 in exponential form is:
46216 = 23 × 531 × 1091
Prime Factorization of 46221
Prime factors of 46221 are 3, 7, 31, 71. Prime factorization of 46221 in exponential form is:
46221 = 31 × 71 × 311 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 46216 and 46221.
LCM(46216,46221) = 23 × 531 × 1091 × 31 × 71 × 311 × 711
LCM(46216,46221) = 2136149736
Related Least Common Multiples of 46216
- LCM of 46216 and 46220
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Related Least Common Multiples of 46221
- LCM of 46221 and 46225
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- LCM of 46221 and 46227
- LCM of 46221 and 46228
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- LCM of 46221 and 46231
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