What is the Least Common Multiple of 62468 and 62481?
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 62481 is 3903063108.
LCM(62468,62481) = 3903063108
Least Common Multiple of 62468 and 62481 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 62481, than apply into the LCM equation.
GCF(62468,62481) = 1
LCM(62468,62481) = ( 62468 × 62481) / 1
LCM(62468,62481) = 3903063108 / 1
LCM(62468,62481) = 3903063108
Least Common Multiple (LCM) of 62468 and 62481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62468 and 62481. First we will calculate the prime factors of 62468 and 62481.
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 62481
Prime factors of 62481 are 3, 59, 353. Prime factorization of 62481 in exponential form is:
62481 = 31 × 591 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 62468 and 62481.
LCM(62468,62481) = 22 × 71 × 231 × 971 × 31 × 591 × 3531
LCM(62468,62481) = 3903063108
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