What is the Least Common Multiple of 32010 and 32019?
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 32010 and 32019 is 341642730.
LCM(32010,32019) = 341642730
Least Common Multiple of 32010 and 32019 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32010 and 32019, than apply into the LCM equation.
GCF(32010,32019) = 3
LCM(32010,32019) = ( 32010 × 32019) / 3
LCM(32010,32019) = 1024928190 / 3
LCM(32010,32019) = 341642730
Least Common Multiple (LCM) of 32010 and 32019 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32010 and 32019. First we will calculate the prime factors of 32010 and 32019.
Prime Factorization of 32010
Prime factors of 32010 are 2, 3, 5, 11, 97. Prime factorization of 32010 in exponential form is:
32010 = 21 × 31 × 51 × 111 × 971
Prime Factorization of 32019
Prime factors of 32019 are 3, 13, 821. Prime factorization of 32019 in exponential form is:
32019 = 31 × 131 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 32010 and 32019.
LCM(32010,32019) = 21 × 31 × 51 × 111 × 971 × 131 × 8211
LCM(32010,32019) = 341642730
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Related Least Common Multiples of 32019
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