What is the Least Common Multiple of 49542 and 49561?
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 49542 and 49561 is 2455351062.
LCM(49542,49561) = 2455351062
Least Common Multiple of 49542 and 49561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49542 and 49561, than apply into the LCM equation.
GCF(49542,49561) = 1
LCM(49542,49561) = ( 49542 × 49561) / 1
LCM(49542,49561) = 2455351062 / 1
LCM(49542,49561) = 2455351062
Least Common Multiple (LCM) of 49542 and 49561 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49542 and 49561. First we will calculate the prime factors of 49542 and 49561.
Prime Factorization of 49542
Prime factors of 49542 are 2, 3, 23, 359. Prime factorization of 49542 in exponential form is:
49542 = 21 × 31 × 231 × 3591
Prime Factorization of 49561
Prime factors of 49561 are 29, 1709. Prime factorization of 49561 in exponential form is:
49561 = 291 × 17091
Now multiplying the highest exponent prime factors to calculate the LCM of 49542 and 49561.
LCM(49542,49561) = 21 × 31 × 231 × 3591 × 291 × 17091
LCM(49542,49561) = 2455351062
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