What is the Least Common Multiple of 63476 and 63485?
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 63476 and 63485 is 4029773860.
LCM(63476,63485) = 4029773860
Least Common Multiple of 63476 and 63485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63476 and 63485, than apply into the LCM equation.
GCF(63476,63485) = 1
LCM(63476,63485) = ( 63476 × 63485) / 1
LCM(63476,63485) = 4029773860 / 1
LCM(63476,63485) = 4029773860
Least Common Multiple (LCM) of 63476 and 63485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63476 and 63485. First we will calculate the prime factors of 63476 and 63485.
Prime Factorization of 63476
Prime factors of 63476 are 2, 7, 2267. Prime factorization of 63476 in exponential form is:
63476 = 22 × 71 × 22671
Prime Factorization of 63485
Prime factors of 63485 are 5, 12697. Prime factorization of 63485 in exponential form is:
63485 = 51 × 126971
Now multiplying the highest exponent prime factors to calculate the LCM of 63476 and 63485.
LCM(63476,63485) = 22 × 71 × 22671 × 51 × 126971
LCM(63476,63485) = 4029773860
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