What is the Least Common Multiple of 63245 and 63250?
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 63245 and 63250 is 800049250.
LCM(63245,63250) = 800049250
Least Common Multiple of 63245 and 63250 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63245 and 63250, than apply into the LCM equation.
GCF(63245,63250) = 5
LCM(63245,63250) = ( 63245 × 63250) / 5
LCM(63245,63250) = 4000246250 / 5
LCM(63245,63250) = 800049250
Least Common Multiple (LCM) of 63245 and 63250 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63245 and 63250. First we will calculate the prime factors of 63245 and 63250.
Prime Factorization of 63245
Prime factors of 63245 are 5, 7, 13, 139. Prime factorization of 63245 in exponential form is:
63245 = 51 × 71 × 131 × 1391
Prime Factorization of 63250
Prime factors of 63250 are 2, 5, 11, 23. Prime factorization of 63250 in exponential form is:
63250 = 21 × 53 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 63245 and 63250.
LCM(63245,63250) = 53 × 71 × 131 × 1391 × 21 × 111 × 231
LCM(63245,63250) = 800049250
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