What is the Least Common Multiple of 19615 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 19615 and 19622 is 384885530.
LCM(19615,19622) = 384885530
Least Common Multiple of 19615 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 19615 and 19622, than apply into the LCM equation.
GCF(19615,19622) = 1
LCM(19615,19622) = ( 19615 × 19622) / 1
LCM(19615,19622) = 384885530 / 1
LCM(19615,19622) = 384885530
Least Common Multiple (LCM) of 19615 and 19622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 19615 and 19622. First we will calculate the prime factors of 19615 and 19622.
Prime Factorization of 19615
Prime factors of 19615 are 5, 3923. Prime factorization of 19615 in exponential form is:
19615 = 51 × 39231
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 19615 and 19622.
LCM(19615,19622) = 51 × 39231 × 21 × 98111
LCM(19615,19622) = 384885530
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