What is the Least Common Multiple of 62242 and 62262?
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 62242 and 62262 is 1937655702.
LCM(62242,62262) = 1937655702
Least Common Multiple of 62242 and 62262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62242 and 62262, than apply into the LCM equation.
GCF(62242,62262) = 2
LCM(62242,62262) = ( 62242 × 62262) / 2
LCM(62242,62262) = 3875311404 / 2
LCM(62242,62262) = 1937655702
Least Common Multiple (LCM) of 62242 and 62262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62242 and 62262. First we will calculate the prime factors of 62242 and 62262.
Prime Factorization of 62242
Prime factors of 62242 are 2, 31121. Prime factorization of 62242 in exponential form is:
62242 = 21 × 311211
Prime Factorization of 62262
Prime factors of 62262 are 2, 3, 1153. Prime factorization of 62262 in exponential form is:
62262 = 21 × 33 × 11531
Now multiplying the highest exponent prime factors to calculate the LCM of 62242 and 62262.
LCM(62242,62262) = 21 × 311211 × 33 × 11531
LCM(62242,62262) = 1937655702
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