What is the Least Common Multiple of 70232 and 70251?
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 70232 and 70251 is 4933868232.
LCM(70232,70251) = 4933868232
Least Common Multiple of 70232 and 70251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70232 and 70251, than apply into the LCM equation.
GCF(70232,70251) = 1
LCM(70232,70251) = ( 70232 × 70251) / 1
LCM(70232,70251) = 4933868232 / 1
LCM(70232,70251) = 4933868232
Least Common Multiple (LCM) of 70232 and 70251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70232 and 70251. First we will calculate the prime factors of 70232 and 70251.
Prime Factorization of 70232
Prime factors of 70232 are 2, 8779. Prime factorization of 70232 in exponential form is:
70232 = 23 × 87791
Prime Factorization of 70251
Prime factors of 70251 are 3, 23417. Prime factorization of 70251 in exponential form is:
70251 = 31 × 234171
Now multiplying the highest exponent prime factors to calculate the LCM of 70232 and 70251.
LCM(70232,70251) = 23 × 87791 × 31 × 234171
LCM(70232,70251) = 4933868232
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