What is the Least Common Multiple of 62468 and 62485?
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 62468 and 62485 is 3903312980.
LCM(62468,62485) = 3903312980
Least Common Multiple of 62468 and 62485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62468 and 62485, than apply into the LCM equation.
GCF(62468,62485) = 1
LCM(62468,62485) = ( 62468 × 62485) / 1
LCM(62468,62485) = 3903312980 / 1
LCM(62468,62485) = 3903312980
Least Common Multiple (LCM) of 62468 and 62485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62468 and 62485. First we will calculate the prime factors of 62468 and 62485.
Prime Factorization of 62468
Prime factors of 62468 are 2, 7, 23, 97. Prime factorization of 62468 in exponential form is:
62468 = 22 × 71 × 231 × 971
Prime Factorization of 62485
Prime factors of 62485 are 5, 12497. Prime factorization of 62485 in exponential form is:
62485 = 51 × 124971
Now multiplying the highest exponent prime factors to calculate the LCM of 62468 and 62485.
LCM(62468,62485) = 22 × 71 × 231 × 971 × 51 × 124971
LCM(62468,62485) = 3903312980
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