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What is the Least Common Multiple of 52402 and 52419?

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 52402 and 52419 is 2746860438.

LCM(52402,52419) = 2746860438

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Least Common Multiple of 52402 and 52419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52402 and 52419, than apply into the LCM equation.

GCF(52402,52419) = 1
LCM(52402,52419) = ( 52402 × 52419) / 1
LCM(52402,52419) = 2746860438 / 1
LCM(52402,52419) = 2746860438

Least Common Multiple (LCM) of 52402 and 52419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52402 and 52419. First we will calculate the prime factors of 52402 and 52419.

Prime Factorization of 52402

Prime factors of 52402 are 2, 7, 19, 197. Prime factorization of 52402 in exponential form is:

52402 = 21 × 71 × 191 × 1971

Prime Factorization of 52419

Prime factors of 52419 are 3, 101, 173. Prime factorization of 52419 in exponential form is:

52419 = 31 × 1011 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 52402 and 52419.

LCM(52402,52419) = 21 × 71 × 191 × 1971 × 31 × 1011 × 1731
LCM(52402,52419) = 2746860438