What is the Least Common Multiple of 49794 and 49810?
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 49794 and 49810 is 1240119570.
LCM(49794,49810) = 1240119570
Least Common Multiple of 49794 and 49810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49794 and 49810, than apply into the LCM equation.
GCF(49794,49810) = 2
LCM(49794,49810) = ( 49794 × 49810) / 2
LCM(49794,49810) = 2480239140 / 2
LCM(49794,49810) = 1240119570
Least Common Multiple (LCM) of 49794 and 49810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49794 and 49810. First we will calculate the prime factors of 49794 and 49810.
Prime Factorization of 49794
Prime factors of 49794 are 2, 3, 43, 193. Prime factorization of 49794 in exponential form is:
49794 = 21 × 31 × 431 × 1931
Prime Factorization of 49810
Prime factors of 49810 are 2, 5, 17, 293. Prime factorization of 49810 in exponential form is:
49810 = 21 × 51 × 171 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 49794 and 49810.
LCM(49794,49810) = 21 × 31 × 431 × 1931 × 51 × 171 × 2931
LCM(49794,49810) = 1240119570
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