What is the Least Common Multiple of 63779 and 63798?
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 63779 and 63798 is 4068972642.
LCM(63779,63798) = 4068972642
Least Common Multiple of 63779 and 63798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63779 and 63798, than apply into the LCM equation.
GCF(63779,63798) = 1
LCM(63779,63798) = ( 63779 × 63798) / 1
LCM(63779,63798) = 4068972642 / 1
LCM(63779,63798) = 4068972642
Least Common Multiple (LCM) of 63779 and 63798 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63779 and 63798. First we will calculate the prime factors of 63779 and 63798.
Prime Factorization of 63779
Prime factors of 63779 are 23, 47, 59. Prime factorization of 63779 in exponential form is:
63779 = 231 × 471 × 591
Prime Factorization of 63798
Prime factors of 63798 are 2, 3, 7, 31. Prime factorization of 63798 in exponential form is:
63798 = 21 × 31 × 73 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 63779 and 63798.
LCM(63779,63798) = 231 × 471 × 591 × 21 × 31 × 73 × 311
LCM(63779,63798) = 4068972642
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