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What is the Least Common Multiple of 62902 and 62915?

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 62902 and 62915 is 3957479330.

LCM(62902,62915) = 3957479330

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Least Common Multiple of 62902 and 62915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62902 and 62915, than apply into the LCM equation.

GCF(62902,62915) = 1
LCM(62902,62915) = ( 62902 × 62915) / 1
LCM(62902,62915) = 3957479330 / 1
LCM(62902,62915) = 3957479330

Least Common Multiple (LCM) of 62902 and 62915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62902 and 62915. First we will calculate the prime factors of 62902 and 62915.

Prime Factorization of 62902

Prime factors of 62902 are 2, 7, 4493. Prime factorization of 62902 in exponential form is:

62902 = 21 × 71 × 44931

Prime Factorization of 62915

Prime factors of 62915 are 5, 12583. Prime factorization of 62915 in exponential form is:

62915 = 51 × 125831

Now multiplying the highest exponent prime factors to calculate the LCM of 62902 and 62915.

LCM(62902,62915) = 21 × 71 × 44931 × 51 × 125831
LCM(62902,62915) = 3957479330