What is the Least Common Multiple of 222 and 242?
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 222 and 242 is 26862.
LCM(222,242) = 26862
Least Common Multiple of 222 and 242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 222 and 242, than apply into the LCM equation.
GCF(222,242) = 2
LCM(222,242) = ( 222 × 242) / 2
LCM(222,242) = 53724 / 2
LCM(222,242) = 26862
Least Common Multiple (LCM) of 222 and 242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 222 and 242. First we will calculate the prime factors of 222 and 242.
Prime Factorization of 222
Prime factors of 222 are 2, 3, 37. Prime factorization of 222 in exponential form is:
222 = 21 × 31 × 371
Prime Factorization of 242
Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:
242 = 21 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 222 and 242.
LCM(222,242) = 21 × 31 × 371 × 112
LCM(222,242) = 26862
Related Least Common Multiples of 222
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Related Least Common Multiples of 242
- LCM of 242 and 246
- LCM of 242 and 247
- LCM of 242 and 248
- LCM of 242 and 249
- LCM of 242 and 250
- LCM of 242 and 251
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- LCM of 242 and 258
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- LCM of 242 and 260
- LCM of 242 and 261
- LCM of 242 and 262