What is the Least Common Multiple of 65238 and 65251?
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 65238 and 65251 is 4256844738.
LCM(65238,65251) = 4256844738
Least Common Multiple of 65238 and 65251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65238 and 65251, than apply into the LCM equation.
GCF(65238,65251) = 1
LCM(65238,65251) = ( 65238 × 65251) / 1
LCM(65238,65251) = 4256844738 / 1
LCM(65238,65251) = 4256844738
Least Common Multiple (LCM) of 65238 and 65251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65238 and 65251. First we will calculate the prime factors of 65238 and 65251.
Prime Factorization of 65238
Prime factors of 65238 are 2, 3, 83, 131. Prime factorization of 65238 in exponential form is:
65238 = 21 × 31 × 831 × 1311
Prime Factorization of 65251
Prime factors of 65251 are 23, 2837. Prime factorization of 65251 in exponential form is:
65251 = 231 × 28371
Now multiplying the highest exponent prime factors to calculate the LCM of 65238 and 65251.
LCM(65238,65251) = 21 × 31 × 831 × 1311 × 231 × 28371
LCM(65238,65251) = 4256844738
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