What is the Least Common Multiple of 10021 and 10032?
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 10021 and 10032 is 9139152.
LCM(10021,10032) = 9139152
Least Common Multiple of 10021 and 10032 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10021 and 10032, than apply into the LCM equation.
GCF(10021,10032) = 11
LCM(10021,10032) = ( 10021 × 10032) / 11
LCM(10021,10032) = 100530672 / 11
LCM(10021,10032) = 9139152
Least Common Multiple (LCM) of 10021 and 10032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10021 and 10032. First we will calculate the prime factors of 10021 and 10032.
Prime Factorization of 10021
Prime factors of 10021 are 11, 911. Prime factorization of 10021 in exponential form is:
10021 = 111 × 9111
Prime Factorization of 10032
Prime factors of 10032 are 2, 3, 11, 19. Prime factorization of 10032 in exponential form is:
10032 = 24 × 31 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 10021 and 10032.
LCM(10021,10032) = 111 × 9111 × 24 × 31 × 191
LCM(10021,10032) = 9139152
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