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What is the Least Common Multiple of 62421 and 62435?

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 62421 and 62435 is 3897255135.

LCM(62421,62435) = 3897255135

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Least Common Multiple of 62421 and 62435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62421 and 62435, than apply into the LCM equation.

GCF(62421,62435) = 1
LCM(62421,62435) = ( 62421 × 62435) / 1
LCM(62421,62435) = 3897255135 / 1
LCM(62421,62435) = 3897255135

Least Common Multiple (LCM) of 62421 and 62435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62421 and 62435. First we will calculate the prime factors of 62421 and 62435.

Prime Factorization of 62421

Prime factors of 62421 are 3, 20807. Prime factorization of 62421 in exponential form is:

62421 = 31 × 208071

Prime Factorization of 62435

Prime factors of 62435 are 5, 12487. Prime factorization of 62435 in exponential form is:

62435 = 51 × 124871

Now multiplying the highest exponent prime factors to calculate the LCM of 62421 and 62435.

LCM(62421,62435) = 31 × 208071 × 51 × 124871
LCM(62421,62435) = 3897255135