What is the Least Common Multiple of 60235 and 60251?
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 60235 and 60251 is 3629218985.
LCM(60235,60251) = 3629218985
Least Common Multiple of 60235 and 60251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60235 and 60251, than apply into the LCM equation.
GCF(60235,60251) = 1
LCM(60235,60251) = ( 60235 × 60251) / 1
LCM(60235,60251) = 3629218985 / 1
LCM(60235,60251) = 3629218985
Least Common Multiple (LCM) of 60235 and 60251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60235 and 60251. First we will calculate the prime factors of 60235 and 60251.
Prime Factorization of 60235
Prime factors of 60235 are 5, 7, 1721. Prime factorization of 60235 in exponential form is:
60235 = 51 × 71 × 17211
Prime Factorization of 60251
Prime factors of 60251 are 60251. Prime factorization of 60251 in exponential form is:
60251 = 602511
Now multiplying the highest exponent prime factors to calculate the LCM of 60235 and 60251.
LCM(60235,60251) = 51 × 71 × 17211 × 602511
LCM(60235,60251) = 3629218985
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