What is the Least Common Multiple of 63919 and 63925?
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 63919 and 63925 is 4086022075.
LCM(63919,63925) = 4086022075
Least Common Multiple of 63919 and 63925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63919 and 63925, than apply into the LCM equation.
GCF(63919,63925) = 1
LCM(63919,63925) = ( 63919 × 63925) / 1
LCM(63919,63925) = 4086022075 / 1
LCM(63919,63925) = 4086022075
Least Common Multiple (LCM) of 63919 and 63925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63919 and 63925. First we will calculate the prime factors of 63919 and 63925.
Prime Factorization of 63919
Prime factors of 63919 are 41, 1559. Prime factorization of 63919 in exponential form is:
63919 = 411 × 15591
Prime Factorization of 63925
Prime factors of 63925 are 5, 2557. Prime factorization of 63925 in exponential form is:
63925 = 52 × 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 63919 and 63925.
LCM(63919,63925) = 411 × 15591 × 52 × 25571
LCM(63919,63925) = 4086022075
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