What is the Least Common Multiple of 67549 and 67569?
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 67549 and 67569 is 4564218381.
LCM(67549,67569) = 4564218381
Least Common Multiple of 67549 and 67569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67549 and 67569, than apply into the LCM equation.
GCF(67549,67569) = 1
LCM(67549,67569) = ( 67549 × 67569) / 1
LCM(67549,67569) = 4564218381 / 1
LCM(67549,67569) = 4564218381
Least Common Multiple (LCM) of 67549 and 67569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67549 and 67569. First we will calculate the prime factors of 67549 and 67569.
Prime Factorization of 67549
Prime factors of 67549 are 31, 2179. Prime factorization of 67549 in exponential form is:
67549 = 311 × 21791
Prime Factorization of 67569
Prime factors of 67569 are 3, 101, 223. Prime factorization of 67569 in exponential form is:
67569 = 31 × 1011 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 67549 and 67569.
LCM(67549,67569) = 311 × 21791 × 31 × 1011 × 2231
LCM(67549,67569) = 4564218381
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