What is the Least Common Multiple of 62426 and 62445?
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 62426 and 62445 is 3898191570.
LCM(62426,62445) = 3898191570
Least Common Multiple of 62426 and 62445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62426 and 62445, than apply into the LCM equation.
GCF(62426,62445) = 1
LCM(62426,62445) = ( 62426 × 62445) / 1
LCM(62426,62445) = 3898191570 / 1
LCM(62426,62445) = 3898191570
Least Common Multiple (LCM) of 62426 and 62445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62426 and 62445. First we will calculate the prime factors of 62426 and 62445.
Prime Factorization of 62426
Prime factors of 62426 are 2, 7, 13. Prime factorization of 62426 in exponential form is:
62426 = 21 × 74 × 131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 62426 and 62445.
LCM(62426,62445) = 21 × 74 × 131 × 31 × 51 × 231 × 1811
LCM(62426,62445) = 3898191570
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