What is the Least Common Multiple of 19611 and 19622?
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 19611 and 19622 is 384807042.
LCM(19611,19622) = 384807042
Least Common Multiple of 19611 and 19622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19611 and 19622, than apply into the LCM equation.
GCF(19611,19622) = 1
LCM(19611,19622) = ( 19611 × 19622) / 1
LCM(19611,19622) = 384807042 / 1
LCM(19611,19622) = 384807042
Least Common Multiple (LCM) of 19611 and 19622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19611 and 19622. First we will calculate the prime factors of 19611 and 19622.
Prime Factorization of 19611
Prime factors of 19611 are 3, 2179. Prime factorization of 19611 in exponential form is:
19611 = 32 × 21791
Prime Factorization of 19622
Prime factors of 19622 are 2, 9811. Prime factorization of 19622 in exponential form is:
19622 = 21 × 98111
Now multiplying the highest exponent prime factors to calculate the LCM of 19611 and 19622.
LCM(19611,19622) = 32 × 21791 × 21 × 98111
LCM(19611,19622) = 384807042
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