What is the Least Common Multiple of 67701 and 67711?
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 67701 and 67711 is 4584102411.
LCM(67701,67711) = 4584102411
Least Common Multiple of 67701 and 67711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67701 and 67711, than apply into the LCM equation.
GCF(67701,67711) = 1
LCM(67701,67711) = ( 67701 × 67711) / 1
LCM(67701,67711) = 4584102411 / 1
LCM(67701,67711) = 4584102411
Least Common Multiple (LCM) of 67701 and 67711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67701 and 67711. First we will calculate the prime factors of 67701 and 67711.
Prime Factorization of 67701
Prime factors of 67701 are 3, 22567. Prime factorization of 67701 in exponential form is:
67701 = 31 × 225671
Prime Factorization of 67711
Prime factors of 67711 are 7, 17, 569. Prime factorization of 67711 in exponential form is:
67711 = 71 × 171 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 67701 and 67711.
LCM(67701,67711) = 31 × 225671 × 71 × 171 × 5691
LCM(67701,67711) = 4584102411
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