What is the Least Common Multiple of 62888 and 62906?
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 62888 and 62906 is 1978016264.
LCM(62888,62906) = 1978016264
Least Common Multiple of 62888 and 62906 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62888 and 62906, than apply into the LCM equation.
GCF(62888,62906) = 2
LCM(62888,62906) = ( 62888 × 62906) / 2
LCM(62888,62906) = 3956032528 / 2
LCM(62888,62906) = 1978016264
Least Common Multiple (LCM) of 62888 and 62906 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62888 and 62906. First we will calculate the prime factors of 62888 and 62906.
Prime Factorization of 62888
Prime factors of 62888 are 2, 7, 1123. Prime factorization of 62888 in exponential form is:
62888 = 23 × 71 × 11231
Prime Factorization of 62906
Prime factors of 62906 are 2, 71, 443. Prime factorization of 62906 in exponential form is:
62906 = 21 × 711 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 62888 and 62906.
LCM(62888,62906) = 23 × 71 × 11231 × 711 × 4431
LCM(62888,62906) = 1978016264
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