What is the Least Common Multiple of 60421 and 60431?
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 60421 and 60431 is 3651301451.
LCM(60421,60431) = 3651301451
Least Common Multiple of 60421 and 60431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60421 and 60431, than apply into the LCM equation.
GCF(60421,60431) = 1
LCM(60421,60431) = ( 60421 × 60431) / 1
LCM(60421,60431) = 3651301451 / 1
LCM(60421,60431) = 3651301451
Least Common Multiple (LCM) of 60421 and 60431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60421 and 60431. First we will calculate the prime factors of 60421 and 60431.
Prime Factorization of 60421
Prime factors of 60421 are 23, 37, 71. Prime factorization of 60421 in exponential form is:
60421 = 231 × 371 × 711
Prime Factorization of 60431
Prime factors of 60431 are 7, 89, 97. Prime factorization of 60431 in exponential form is:
60431 = 71 × 891 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 60421 and 60431.
LCM(60421,60431) = 231 × 371 × 711 × 71 × 891 × 971
LCM(60421,60431) = 3651301451
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