What is the Least Common Multiple of 62518 and 62526?
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 62518 and 62526 is 1954500234.
LCM(62518,62526) = 1954500234
Least Common Multiple of 62518 and 62526 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62518 and 62526, than apply into the LCM equation.
GCF(62518,62526) = 2
LCM(62518,62526) = ( 62518 × 62526) / 2
LCM(62518,62526) = 3909000468 / 2
LCM(62518,62526) = 1954500234
Least Common Multiple (LCM) of 62518 and 62526 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62518 and 62526. First we will calculate the prime factors of 62518 and 62526.
Prime Factorization of 62518
Prime factors of 62518 are 2, 31259. Prime factorization of 62518 in exponential form is:
62518 = 21 × 312591
Prime Factorization of 62526
Prime factors of 62526 are 2, 3, 17, 613. Prime factorization of 62526 in exponential form is:
62526 = 21 × 31 × 171 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 62518 and 62526.
LCM(62518,62526) = 21 × 312591 × 31 × 171 × 6131
LCM(62518,62526) = 1954500234
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