What is the Least Common Multiple of 238 and 244?
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 238 and 244 is 29036.
LCM(238,244) = 29036
Least Common Multiple of 238 and 244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 238 and 244, than apply into the LCM equation.
GCF(238,244) = 2
LCM(238,244) = ( 238 × 244) / 2
LCM(238,244) = 58072 / 2
LCM(238,244) = 29036
Least Common Multiple (LCM) of 238 and 244 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 238 and 244. First we will calculate the prime factors of 238 and 244.
Prime Factorization of 238
Prime factors of 238 are 2, 7, 17. Prime factorization of 238 in exponential form is:
238 = 21 × 71 × 171
Prime Factorization of 244
Prime factors of 244 are 2, 61. Prime factorization of 244 in exponential form is:
244 = 22 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 238 and 244.
LCM(238,244) = 22 × 71 × 171 × 611
LCM(238,244) = 29036
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- LCM of 238 and 242
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Related Least Common Multiples of 244
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