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What is the Least Common Multiple of 19624 and 19630?

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 19624 and 19630 is 192609560.

LCM(19624,19630) = 192609560

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Least Common Multiple of 19624 and 19630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19624 and 19630, than apply into the LCM equation.

GCF(19624,19630) = 2
LCM(19624,19630) = ( 19624 × 19630) / 2
LCM(19624,19630) = 385219120 / 2
LCM(19624,19630) = 192609560

Least Common Multiple (LCM) of 19624 and 19630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19624 and 19630. First we will calculate the prime factors of 19624 and 19630.

Prime Factorization of 19624

Prime factors of 19624 are 2, 11, 223. Prime factorization of 19624 in exponential form is:

19624 = 23 × 111 × 2231

Prime Factorization of 19630

Prime factors of 19630 are 2, 5, 13, 151. Prime factorization of 19630 in exponential form is:

19630 = 21 × 51 × 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 19624 and 19630.

LCM(19624,19630) = 23 × 111 × 2231 × 51 × 131 × 1511
LCM(19624,19630) = 192609560