What is the Least Common Multiple of 72235 and 72251?
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 72235 and 72251 is 5219050985.
LCM(72235,72251) = 5219050985
Least Common Multiple of 72235 and 72251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72235 and 72251, than apply into the LCM equation.
GCF(72235,72251) = 1
LCM(72235,72251) = ( 72235 × 72251) / 1
LCM(72235,72251) = 5219050985 / 1
LCM(72235,72251) = 5219050985
Least Common Multiple (LCM) of 72235 and 72251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72235 and 72251. First we will calculate the prime factors of 72235 and 72251.
Prime Factorization of 72235
Prime factors of 72235 are 5, 14447. Prime factorization of 72235 in exponential form is:
72235 = 51 × 144471
Prime Factorization of 72251
Prime factors of 72251 are 72251. Prime factorization of 72251 in exponential form is:
72251 = 722511
Now multiplying the highest exponent prime factors to calculate the LCM of 72235 and 72251.
LCM(72235,72251) = 51 × 144471 × 722511
LCM(72235,72251) = 5219050985
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