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What is the Least Common Multiple of 62087 and 62094?

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 62087 and 62094 is 3855230178.

LCM(62087,62094) = 3855230178

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Least Common Multiple of 62087 and 62094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62087 and 62094, than apply into the LCM equation.

GCF(62087,62094) = 1
LCM(62087,62094) = ( 62087 × 62094) / 1
LCM(62087,62094) = 3855230178 / 1
LCM(62087,62094) = 3855230178

Least Common Multiple (LCM) of 62087 and 62094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62087 and 62094. First we will calculate the prime factors of 62087 and 62094.

Prime Factorization of 62087

Prime factors of 62087 are 47, 1321. Prime factorization of 62087 in exponential form is:

62087 = 471 × 13211

Prime Factorization of 62094

Prime factors of 62094 are 2, 3, 79, 131. Prime factorization of 62094 in exponential form is:

62094 = 21 × 31 × 791 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 62087 and 62094.

LCM(62087,62094) = 471 × 13211 × 21 × 31 × 791 × 1311
LCM(62087,62094) = 3855230178