What is the Least Common Multiple of 62542 and 62551?
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 62542 and 62551 is 3912064642.
LCM(62542,62551) = 3912064642
Least Common Multiple of 62542 and 62551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62542 and 62551, than apply into the LCM equation.
GCF(62542,62551) = 1
LCM(62542,62551) = ( 62542 × 62551) / 1
LCM(62542,62551) = 3912064642 / 1
LCM(62542,62551) = 3912064642
Least Common Multiple (LCM) of 62542 and 62551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62542 and 62551. First we will calculate the prime factors of 62542 and 62551.
Prime Factorization of 62542
Prime factors of 62542 are 2, 31271. Prime factorization of 62542 in exponential form is:
62542 = 21 × 312711
Prime Factorization of 62551
Prime factors of 62551 are 71, 881. Prime factorization of 62551 in exponential form is:
62551 = 711 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 62542 and 62551.
LCM(62542,62551) = 21 × 312711 × 711 × 8811
LCM(62542,62551) = 3912064642
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