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What is the Least Common Multiple of 11620 and 11638?

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 11620 and 11638 is 67616780.

LCM(11620,11638) = 67616780

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Least Common Multiple of 11620 and 11638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11620 and 11638, than apply into the LCM equation.

GCF(11620,11638) = 2
LCM(11620,11638) = ( 11620 × 11638) / 2
LCM(11620,11638) = 135233560 / 2
LCM(11620,11638) = 67616780

Least Common Multiple (LCM) of 11620 and 11638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11620 and 11638. First we will calculate the prime factors of 11620 and 11638.

Prime Factorization of 11620

Prime factors of 11620 are 2, 5, 7, 83. Prime factorization of 11620 in exponential form is:

11620 = 22 × 51 × 71 × 831

Prime Factorization of 11638

Prime factors of 11638 are 2, 11, 23. Prime factorization of 11638 in exponential form is:

11638 = 21 × 111 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 11620 and 11638.

LCM(11620,11638) = 22 × 51 × 71 × 831 × 111 × 232
LCM(11620,11638) = 67616780