What is the Least Common Multiple of 242 and 251?
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 242 and 251 is 60742.
LCM(242,251) = 60742
Least Common Multiple of 242 and 251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 242 and 251, than apply into the LCM equation.
GCF(242,251) = 1
LCM(242,251) = ( 242 × 251) / 1
LCM(242,251) = 60742 / 1
LCM(242,251) = 60742
Least Common Multiple (LCM) of 242 and 251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 242 and 251. First we will calculate the prime factors of 242 and 251.
Prime Factorization of 242
Prime factors of 242 are 2, 11. Prime factorization of 242 in exponential form is:
242 = 21 × 112
Prime Factorization of 251
Prime factors of 251 are 251. Prime factorization of 251 in exponential form is:
251 = 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 242 and 251.
LCM(242,251) = 21 × 112 × 2511
LCM(242,251) = 60742
Related Least Common Multiples of 242
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Related Least Common Multiples of 251
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