What is the Least Common Multiple of 60922 and 60926?
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 60922 and 60926 is 1855866886.
LCM(60922,60926) = 1855866886
Least Common Multiple of 60922 and 60926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60922 and 60926, than apply into the LCM equation.
GCF(60922,60926) = 2
LCM(60922,60926) = ( 60922 × 60926) / 2
LCM(60922,60926) = 3711733772 / 2
LCM(60922,60926) = 1855866886
Least Common Multiple (LCM) of 60922 and 60926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60922 and 60926. First we will calculate the prime factors of 60922 and 60926.
Prime Factorization of 60922
Prime factors of 60922 are 2, 83, 367. Prime factorization of 60922 in exponential form is:
60922 = 21 × 831 × 3671
Prime Factorization of 60926
Prime factors of 60926 are 2, 41, 743. Prime factorization of 60926 in exponential form is:
60926 = 21 × 411 × 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 60922 and 60926.
LCM(60922,60926) = 21 × 831 × 3671 × 411 × 7431
LCM(60922,60926) = 1855866886
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