What is the Least Common Multiple of 60701 and 60706?
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 60701 and 60706 is 3684914906.
LCM(60701,60706) = 3684914906
Least Common Multiple of 60701 and 60706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60701 and 60706, than apply into the LCM equation.
GCF(60701,60706) = 1
LCM(60701,60706) = ( 60701 × 60706) / 1
LCM(60701,60706) = 3684914906 / 1
LCM(60701,60706) = 3684914906
Least Common Multiple (LCM) of 60701 and 60706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60701 and 60706. First we will calculate the prime factors of 60701 and 60706.
Prime Factorization of 60701
Prime factors of 60701 are 101, 601. Prime factorization of 60701 in exponential form is:
60701 = 1011 × 6011
Prime Factorization of 60706
Prime factors of 60706 are 2, 127, 239. Prime factorization of 60706 in exponential form is:
60706 = 21 × 1271 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 60701 and 60706.
LCM(60701,60706) = 1011 × 6011 × 21 × 1271 × 2391
LCM(60701,60706) = 3684914906
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