What is the Least Common Multiple of 67601 and 67611?
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 67601 and 67611 is 4570571211.
LCM(67601,67611) = 4570571211
Least Common Multiple of 67601 and 67611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67601 and 67611, than apply into the LCM equation.
GCF(67601,67611) = 1
LCM(67601,67611) = ( 67601 × 67611) / 1
LCM(67601,67611) = 4570571211 / 1
LCM(67601,67611) = 4570571211
Least Common Multiple (LCM) of 67601 and 67611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67601 and 67611. First we will calculate the prime factors of 67601 and 67611.
Prime Factorization of 67601
Prime factors of 67601 are 67601. Prime factorization of 67601 in exponential form is:
67601 = 676011
Prime Factorization of 67611
Prime factors of 67611 are 3, 31, 727. Prime factorization of 67611 in exponential form is:
67611 = 31 × 311 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 67601 and 67611.
LCM(67601,67611) = 676011 × 31 × 311 × 7271
LCM(67601,67611) = 4570571211
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