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What is the Least Common Multiple of 94054 and 94062?

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 94054 and 94062 is 4423453674.

LCM(94054,94062) = 4423453674

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Least Common Multiple of 94054 and 94062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94054 and 94062, than apply into the LCM equation.

GCF(94054,94062) = 2
LCM(94054,94062) = ( 94054 × 94062) / 2
LCM(94054,94062) = 8846907348 / 2
LCM(94054,94062) = 4423453674

Least Common Multiple (LCM) of 94054 and 94062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94054 and 94062. First we will calculate the prime factors of 94054 and 94062.

Prime Factorization of 94054

Prime factors of 94054 are 2, 31, 37, 41. Prime factorization of 94054 in exponential form is:

94054 = 21 × 311 × 371 × 411

Prime Factorization of 94062

Prime factors of 94062 are 2, 3, 61, 257. Prime factorization of 94062 in exponential form is:

94062 = 21 × 31 × 611 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 94054 and 94062.

LCM(94054,94062) = 21 × 311 × 371 × 411 × 31 × 611 × 2571
LCM(94054,94062) = 4423453674