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What is the Least Common Multiple of 62877 and 62894?

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 62877 and 62894 is 3954586038.

LCM(62877,62894) = 3954586038

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Least Common Multiple of 62877 and 62894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62877 and 62894, than apply into the LCM equation.

GCF(62877,62894) = 1
LCM(62877,62894) = ( 62877 × 62894) / 1
LCM(62877,62894) = 3954586038 / 1
LCM(62877,62894) = 3954586038

Least Common Multiple (LCM) of 62877 and 62894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62877 and 62894. First we will calculate the prime factors of 62877 and 62894.

Prime Factorization of 62877

Prime factors of 62877 are 3, 20959. Prime factorization of 62877 in exponential form is:

62877 = 31 × 209591

Prime Factorization of 62894

Prime factors of 62894 are 2, 13, 41, 59. Prime factorization of 62894 in exponential form is:

62894 = 21 × 131 × 411 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 62877 and 62894.

LCM(62877,62894) = 31 × 209591 × 21 × 131 × 411 × 591
LCM(62877,62894) = 3954586038