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What is the Least Common Multiple of 65672 and 65680?

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 65672 and 65680 is 539167120.

LCM(65672,65680) = 539167120

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Least Common Multiple of 65672 and 65680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65672 and 65680, than apply into the LCM equation.

GCF(65672,65680) = 8
LCM(65672,65680) = ( 65672 × 65680) / 8
LCM(65672,65680) = 4313336960 / 8
LCM(65672,65680) = 539167120

Least Common Multiple (LCM) of 65672 and 65680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65672 and 65680. First we will calculate the prime factors of 65672 and 65680.

Prime Factorization of 65672

Prime factors of 65672 are 2, 8209. Prime factorization of 65672 in exponential form is:

65672 = 23 × 82091

Prime Factorization of 65680

Prime factors of 65680 are 2, 5, 821. Prime factorization of 65680 in exponential form is:

65680 = 24 × 51 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 65672 and 65680.

LCM(65672,65680) = 24 × 82091 × 51 × 8211
LCM(65672,65680) = 539167120