What is the Least Common Multiple of 49828 and 49842?
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 49828 and 49842 is 1241763588.
LCM(49828,49842) = 1241763588
Least Common Multiple of 49828 and 49842 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49828 and 49842, than apply into the LCM equation.
GCF(49828,49842) = 2
LCM(49828,49842) = ( 49828 × 49842) / 2
LCM(49828,49842) = 2483527176 / 2
LCM(49828,49842) = 1241763588
Least Common Multiple (LCM) of 49828 and 49842 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49828 and 49842. First we will calculate the prime factors of 49828 and 49842.
Prime Factorization of 49828
Prime factors of 49828 are 2, 12457. Prime factorization of 49828 in exponential form is:
49828 = 22 × 124571
Prime Factorization of 49842
Prime factors of 49842 are 2, 3, 13, 71. Prime factorization of 49842 in exponential form is:
49842 = 21 × 33 × 131 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 49828 and 49842.
LCM(49828,49842) = 22 × 124571 × 33 × 131 × 711
LCM(49828,49842) = 1241763588
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