What is the Least Common Multiple of 32056 and 32061?
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 32056 and 32061 is 1027747416.
LCM(32056,32061) = 1027747416
Least Common Multiple of 32056 and 32061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32056 and 32061, than apply into the LCM equation.
GCF(32056,32061) = 1
LCM(32056,32061) = ( 32056 × 32061) / 1
LCM(32056,32061) = 1027747416 / 1
LCM(32056,32061) = 1027747416
Least Common Multiple (LCM) of 32056 and 32061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32056 and 32061. First we will calculate the prime factors of 32056 and 32061.
Prime Factorization of 32056
Prime factors of 32056 are 2, 4007. Prime factorization of 32056 in exponential form is:
32056 = 23 × 40071
Prime Factorization of 32061
Prime factors of 32061 are 3, 10687. Prime factorization of 32061 in exponential form is:
32061 = 31 × 106871
Now multiplying the highest exponent prime factors to calculate the LCM of 32056 and 32061.
LCM(32056,32061) = 23 × 40071 × 31 × 106871
LCM(32056,32061) = 1027747416
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