What is the Least Common Multiple of 62445 and 62458?
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 62445 and 62458 is 3900189810.
LCM(62445,62458) = 3900189810
Least Common Multiple of 62445 and 62458 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62445 and 62458, than apply into the LCM equation.
GCF(62445,62458) = 1
LCM(62445,62458) = ( 62445 × 62458) / 1
LCM(62445,62458) = 3900189810 / 1
LCM(62445,62458) = 3900189810
Least Common Multiple (LCM) of 62445 and 62458 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62445 and 62458. First we will calculate the prime factors of 62445 and 62458.
Prime Factorization of 62445
Prime factors of 62445 are 3, 5, 23, 181. Prime factorization of 62445 in exponential form is:
62445 = 31 × 51 × 231 × 1811
Prime Factorization of 62458
Prime factors of 62458 are 2, 11, 17, 167. Prime factorization of 62458 in exponential form is:
62458 = 21 × 111 × 171 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 62445 and 62458.
LCM(62445,62458) = 31 × 51 × 231 × 1811 × 21 × 111 × 171 × 1671
LCM(62445,62458) = 3900189810
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