What is the Least Common Multiple of 53867 and 53878?
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 53867 and 53878 is 263840566.
LCM(53867,53878) = 263840566
Least Common Multiple of 53867 and 53878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53867 and 53878, than apply into the LCM equation.
GCF(53867,53878) = 11
LCM(53867,53878) = ( 53867 × 53878) / 11
LCM(53867,53878) = 2902246226 / 11
LCM(53867,53878) = 263840566
Least Common Multiple (LCM) of 53867 and 53878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53867 and 53878. First we will calculate the prime factors of 53867 and 53878.
Prime Factorization of 53867
Prime factors of 53867 are 11, 59, 83. Prime factorization of 53867 in exponential form is:
53867 = 111 × 591 × 831
Prime Factorization of 53878
Prime factors of 53878 are 2, 11, 31, 79. Prime factorization of 53878 in exponential form is:
53878 = 21 × 111 × 311 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 53867 and 53878.
LCM(53867,53878) = 111 × 591 × 831 × 21 × 311 × 791
LCM(53867,53878) = 263840566
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