What is the Least Common Multiple of 67118 and 67122?
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 67118 and 67122 is 2252547198.
LCM(67118,67122) = 2252547198
Least Common Multiple of 67118 and 67122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67118 and 67122, than apply into the LCM equation.
GCF(67118,67122) = 2
LCM(67118,67122) = ( 67118 × 67122) / 2
LCM(67118,67122) = 4505094396 / 2
LCM(67118,67122) = 2252547198
Least Common Multiple (LCM) of 67118 and 67122 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67118 and 67122. First we will calculate the prime factors of 67118 and 67122.
Prime Factorization of 67118
Prime factors of 67118 are 2, 37, 907. Prime factorization of 67118 in exponential form is:
67118 = 21 × 371 × 9071
Prime Factorization of 67122
Prime factors of 67122 are 2, 3, 11, 113. Prime factorization of 67122 in exponential form is:
67122 = 21 × 33 × 111 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 67118 and 67122.
LCM(67118,67122) = 21 × 371 × 9071 × 33 × 111 × 1131
LCM(67118,67122) = 2252547198
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