What is the Least Common Multiple of 51239 and 51251?
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 51239 and 51251 is 2626049989.
LCM(51239,51251) = 2626049989
Least Common Multiple of 51239 and 51251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51239 and 51251, than apply into the LCM equation.
GCF(51239,51251) = 1
LCM(51239,51251) = ( 51239 × 51251) / 1
LCM(51239,51251) = 2626049989 / 1
LCM(51239,51251) = 2626049989
Least Common Multiple (LCM) of 51239 and 51251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51239 and 51251. First we will calculate the prime factors of 51239 and 51251.
Prime Factorization of 51239
Prime factors of 51239 are 51239. Prime factorization of 51239 in exponential form is:
51239 = 512391
Prime Factorization of 51251
Prime factors of 51251 are 53, 967. Prime factorization of 51251 in exponential form is:
51251 = 531 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 51239 and 51251.
LCM(51239,51251) = 512391 × 531 × 9671
LCM(51239,51251) = 2626049989
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