What is the Least Common Multiple of 49015 and 49026?
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 49015 and 49026 is 2403009390.
LCM(49015,49026) = 2403009390
Least Common Multiple of 49015 and 49026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49015 and 49026, than apply into the LCM equation.
GCF(49015,49026) = 1
LCM(49015,49026) = ( 49015 × 49026) / 1
LCM(49015,49026) = 2403009390 / 1
LCM(49015,49026) = 2403009390
Least Common Multiple (LCM) of 49015 and 49026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49015 and 49026. First we will calculate the prime factors of 49015 and 49026.
Prime Factorization of 49015
Prime factors of 49015 are 5, 9803. Prime factorization of 49015 in exponential form is:
49015 = 51 × 98031
Prime Factorization of 49026
Prime factors of 49026 are 2, 3, 8171. Prime factorization of 49026 in exponential form is:
49026 = 21 × 31 × 81711
Now multiplying the highest exponent prime factors to calculate the LCM of 49015 and 49026.
LCM(49015,49026) = 51 × 98031 × 21 × 31 × 81711
LCM(49015,49026) = 2403009390
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