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What is the Least Common Multiple of 94214 and 94220?

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 94214 and 94220 is 4438421540.

LCM(94214,94220) = 4438421540

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Least Common Multiple of 94214 and 94220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94214 and 94220, than apply into the LCM equation.

GCF(94214,94220) = 2
LCM(94214,94220) = ( 94214 × 94220) / 2
LCM(94214,94220) = 8876843080 / 2
LCM(94214,94220) = 4438421540

Least Common Multiple (LCM) of 94214 and 94220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94214 and 94220. First we will calculate the prime factors of 94214 and 94220.

Prime Factorization of 94214

Prime factors of 94214 are 2, 17, 163. Prime factorization of 94214 in exponential form is:

94214 = 21 × 172 × 1631

Prime Factorization of 94220

Prime factors of 94220 are 2, 5, 7, 673. Prime factorization of 94220 in exponential form is:

94220 = 22 × 51 × 71 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 94214 and 94220.

LCM(94214,94220) = 22 × 172 × 1631 × 51 × 71 × 6731
LCM(94214,94220) = 4438421540