What is the Least Common Multiple of 63488 and 63497?
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 63488 and 63497 is 4031297536.
LCM(63488,63497) = 4031297536
Least Common Multiple of 63488 and 63497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63488 and 63497, than apply into the LCM equation.
GCF(63488,63497) = 1
LCM(63488,63497) = ( 63488 × 63497) / 1
LCM(63488,63497) = 4031297536 / 1
LCM(63488,63497) = 4031297536
Least Common Multiple (LCM) of 63488 and 63497 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63488 and 63497. First we will calculate the prime factors of 63488 and 63497.
Prime Factorization of 63488
Prime factors of 63488 are 2, 31. Prime factorization of 63488 in exponential form is:
63488 = 211 × 311
Prime Factorization of 63497
Prime factors of 63497 are 7, 47, 193. Prime factorization of 63497 in exponential form is:
63497 = 71 × 471 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 63488 and 63497.
LCM(63488,63497) = 211 × 311 × 71 × 471 × 1931
LCM(63488,63497) = 4031297536
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