What is the Least Common Multiple of 67548 and 67558?
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 67548 and 67558 is 2281703892.
LCM(67548,67558) = 2281703892
Least Common Multiple of 67548 and 67558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67548 and 67558, than apply into the LCM equation.
GCF(67548,67558) = 2
LCM(67548,67558) = ( 67548 × 67558) / 2
LCM(67548,67558) = 4563407784 / 2
LCM(67548,67558) = 2281703892
Least Common Multiple (LCM) of 67548 and 67558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67548 and 67558. First we will calculate the prime factors of 67548 and 67558.
Prime Factorization of 67548
Prime factors of 67548 are 2, 3, 13, 433. Prime factorization of 67548 in exponential form is:
67548 = 22 × 31 × 131 × 4331
Prime Factorization of 67558
Prime factors of 67558 are 2, 17, 1987. Prime factorization of 67558 in exponential form is:
67558 = 21 × 171 × 19871
Now multiplying the highest exponent prime factors to calculate the LCM of 67548 and 67558.
LCM(67548,67558) = 22 × 31 × 131 × 4331 × 171 × 19871
LCM(67548,67558) = 2281703892
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