What is the Least Common Multiple of 202 and 206?
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 202 and 206 is 20806.
LCM(202,206) = 20806
Least Common Multiple of 202 and 206 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 202 and 206, than apply into the LCM equation.
GCF(202,206) = 2
LCM(202,206) = ( 202 × 206) / 2
LCM(202,206) = 41612 / 2
LCM(202,206) = 20806
Least Common Multiple (LCM) of 202 and 206 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 202 and 206. First we will calculate the prime factors of 202 and 206.
Prime Factorization of 202
Prime factors of 202 are 2, 101. Prime factorization of 202 in exponential form is:
202 = 21 × 1011
Prime Factorization of 206
Prime factors of 206 are 2, 103. Prime factorization of 206 in exponential form is:
206 = 21 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 202 and 206.
LCM(202,206) = 21 × 1011 × 1031
LCM(202,206) = 20806
Related Least Common Multiples of 202
- LCM of 202 and 206
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Related Least Common Multiples of 206
- LCM of 206 and 210
- LCM of 206 and 211
- LCM of 206 and 212
- LCM of 206 and 213
- LCM of 206 and 214
- LCM of 206 and 215
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- LCM of 206 and 225
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