What is the Least Common Multiple of 53542 and 53551?
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 53542 and 53551 is 2867227642.
LCM(53542,53551) = 2867227642
Least Common Multiple of 53542 and 53551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53542 and 53551, than apply into the LCM equation.
GCF(53542,53551) = 1
LCM(53542,53551) = ( 53542 × 53551) / 1
LCM(53542,53551) = 2867227642 / 1
LCM(53542,53551) = 2867227642
Least Common Multiple (LCM) of 53542 and 53551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53542 and 53551. First we will calculate the prime factors of 53542 and 53551.
Prime Factorization of 53542
Prime factors of 53542 are 2, 19, 1409. Prime factorization of 53542 in exponential form is:
53542 = 21 × 191 × 14091
Prime Factorization of 53551
Prime factors of 53551 are 53551. Prime factorization of 53551 in exponential form is:
53551 = 535511
Now multiplying the highest exponent prime factors to calculate the LCM of 53542 and 53551.
LCM(53542,53551) = 21 × 191 × 14091 × 535511
LCM(53542,53551) = 2867227642
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