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What is the Least Common Multiple of 90 and 94?

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 90 and 94 is 4230.

LCM(90,94) = 4230

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Least Common Multiple of 90 and 94 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90 and 94, than apply into the LCM equation.

GCF(90,94) = 2
LCM(90,94) = ( 90 × 94) / 2
LCM(90,94) = 8460 / 2
LCM(90,94) = 4230

Least Common Multiple (LCM) of 90 and 94 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90 and 94. First we will calculate the prime factors of 90 and 94.

Prime Factorization of 90

Prime factors of 90 are 2, 3, 5. Prime factorization of 90 in exponential form is:

90 = 21 × 32 × 51

Prime Factorization of 94

Prime factors of 94 are 2, 47. Prime factorization of 94 in exponential form is:

94 = 21 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 90 and 94.

LCM(90,94) = 21 × 32 × 51 × 471
LCM(90,94) = 4230

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