What is the Least Common Multiple of 63785 and 63792?
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 63785 and 63792 is 4068972720.
LCM(63785,63792) = 4068972720
Least Common Multiple of 63785 and 63792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63785 and 63792, than apply into the LCM equation.
GCF(63785,63792) = 1
LCM(63785,63792) = ( 63785 × 63792) / 1
LCM(63785,63792) = 4068972720 / 1
LCM(63785,63792) = 4068972720
Least Common Multiple (LCM) of 63785 and 63792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63785 and 63792. First we will calculate the prime factors of 63785 and 63792.
Prime Factorization of 63785
Prime factors of 63785 are 5, 12757. Prime factorization of 63785 in exponential form is:
63785 = 51 × 127571
Prime Factorization of 63792
Prime factors of 63792 are 2, 3, 443. Prime factorization of 63792 in exponential form is:
63792 = 24 × 32 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 63785 and 63792.
LCM(63785,63792) = 51 × 127571 × 24 × 32 × 4431
LCM(63785,63792) = 4068972720
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