What is the Least Common Multiple of 67084 and 67092?
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 67084 and 67092 is 1125199932.
LCM(67084,67092) = 1125199932
Least Common Multiple of 67084 and 67092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67084 and 67092, than apply into the LCM equation.
GCF(67084,67092) = 4
LCM(67084,67092) = ( 67084 × 67092) / 4
LCM(67084,67092) = 4500799728 / 4
LCM(67084,67092) = 1125199932
Least Common Multiple (LCM) of 67084 and 67092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67084 and 67092. First we will calculate the prime factors of 67084 and 67092.
Prime Factorization of 67084
Prime factors of 67084 are 2, 31, 541. Prime factorization of 67084 in exponential form is:
67084 = 22 × 311 × 5411
Prime Factorization of 67092
Prime factors of 67092 are 2, 3, 5591. Prime factorization of 67092 in exponential form is:
67092 = 22 × 31 × 55911
Now multiplying the highest exponent prime factors to calculate the LCM of 67084 and 67092.
LCM(67084,67092) = 22 × 311 × 5411 × 31 × 55911
LCM(67084,67092) = 1125199932
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