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What is the Least Common Multiple of 85302 and 85320?

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 85302 and 85320 is 404331480.

LCM(85302,85320) = 404331480

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Least Common Multiple of 85302 and 85320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85302 and 85320, than apply into the LCM equation.

GCF(85302,85320) = 18
LCM(85302,85320) = ( 85302 × 85320) / 18
LCM(85302,85320) = 7277966640 / 18
LCM(85302,85320) = 404331480

Least Common Multiple (LCM) of 85302 and 85320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85302 and 85320. First we will calculate the prime factors of 85302 and 85320.

Prime Factorization of 85302

Prime factors of 85302 are 2, 3, 7, 677. Prime factorization of 85302 in exponential form is:

85302 = 21 × 32 × 71 × 6771

Prime Factorization of 85320

Prime factors of 85320 are 2, 3, 5, 79. Prime factorization of 85320 in exponential form is:

85320 = 23 × 33 × 51 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 85302 and 85320.

LCM(85302,85320) = 23 × 33 × 71 × 6771 × 51 × 791
LCM(85302,85320) = 404331480