What is the Least Common Multiple of 62402 and 62421?
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 62402 and 62421 is 3895195242.
LCM(62402,62421) = 3895195242
Least Common Multiple of 62402 and 62421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62402 and 62421, than apply into the LCM equation.
GCF(62402,62421) = 1
LCM(62402,62421) = ( 62402 × 62421) / 1
LCM(62402,62421) = 3895195242 / 1
LCM(62402,62421) = 3895195242
Least Common Multiple (LCM) of 62402 and 62421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62402 and 62421. First we will calculate the prime factors of 62402 and 62421.
Prime Factorization of 62402
Prime factors of 62402 are 2, 41, 761. Prime factorization of 62402 in exponential form is:
62402 = 21 × 411 × 7611
Prime Factorization of 62421
Prime factors of 62421 are 3, 20807. Prime factorization of 62421 in exponential form is:
62421 = 31 × 208071
Now multiplying the highest exponent prime factors to calculate the LCM of 62402 and 62421.
LCM(62402,62421) = 21 × 411 × 7611 × 31 × 208071
LCM(62402,62421) = 3895195242
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