What is the Least Common Multiple of 49552 and 49565?
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 49552 and 49565 is 2456044880.
LCM(49552,49565) = 2456044880
Least Common Multiple of 49552 and 49565 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49552 and 49565, than apply into the LCM equation.
GCF(49552,49565) = 1
LCM(49552,49565) = ( 49552 × 49565) / 1
LCM(49552,49565) = 2456044880 / 1
LCM(49552,49565) = 2456044880
Least Common Multiple (LCM) of 49552 and 49565 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49552 and 49565. First we will calculate the prime factors of 49552 and 49565.
Prime Factorization of 49552
Prime factors of 49552 are 2, 19, 163. Prime factorization of 49552 in exponential form is:
49552 = 24 × 191 × 1631
Prime Factorization of 49565
Prime factors of 49565 are 5, 23, 431. Prime factorization of 49565 in exponential form is:
49565 = 51 × 231 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 49552 and 49565.
LCM(49552,49565) = 24 × 191 × 1631 × 51 × 231 × 4311
LCM(49552,49565) = 2456044880
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