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What is the Least Common Multiple of 53274 and 53282?

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 53274 and 53282 is 1419272634.

LCM(53274,53282) = 1419272634

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Least Common Multiple of 53274 and 53282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53274 and 53282, than apply into the LCM equation.

GCF(53274,53282) = 2
LCM(53274,53282) = ( 53274 × 53282) / 2
LCM(53274,53282) = 2838545268 / 2
LCM(53274,53282) = 1419272634

Least Common Multiple (LCM) of 53274 and 53282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53274 and 53282. First we will calculate the prime factors of 53274 and 53282.

Prime Factorization of 53274

Prime factors of 53274 are 2, 3, 13, 683. Prime factorization of 53274 in exponential form is:

53274 = 21 × 31 × 131 × 6831

Prime Factorization of 53282

Prime factors of 53282 are 2, 26641. Prime factorization of 53282 in exponential form is:

53282 = 21 × 266411

Now multiplying the highest exponent prime factors to calculate the LCM of 53274 and 53282.

LCM(53274,53282) = 21 × 31 × 131 × 6831 × 266411
LCM(53274,53282) = 1419272634