What is the Least Common Multiple of 63925 and 63938?
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 63925 and 63938 is 4087236650.
LCM(63925,63938) = 4087236650
Least Common Multiple of 63925 and 63938 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63925 and 63938, than apply into the LCM equation.
GCF(63925,63938) = 1
LCM(63925,63938) = ( 63925 × 63938) / 1
LCM(63925,63938) = 4087236650 / 1
LCM(63925,63938) = 4087236650
Least Common Multiple (LCM) of 63925 and 63938 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63925 and 63938. First we will calculate the prime factors of 63925 and 63938.
Prime Factorization of 63925
Prime factors of 63925 are 5, 2557. Prime factorization of 63925 in exponential form is:
63925 = 52 × 25571
Prime Factorization of 63938
Prime factors of 63938 are 2, 7, 4567. Prime factorization of 63938 in exponential form is:
63938 = 21 × 71 × 45671
Now multiplying the highest exponent prime factors to calculate the LCM of 63925 and 63938.
LCM(63925,63938) = 52 × 25571 × 21 × 71 × 45671
LCM(63925,63938) = 4087236650
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