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Least Common Multiple of 72 and 80

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 72 and 80 is 720.

LCM(72,80) = 720

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Least Common Multiple of 72 and 80 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72 and 80, than apply into the LCM equation.

GCF(72,80) = 8
LCM(72,80) = ( 72 × 80) / 8
LCM(72,80) = 5760 / 8
LCM(72,80) = 720

Least Common Multiple (LCM) of 72 and 80 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72 and 80. First we will calculate the prime factors of 72 and 80.

Prime Factorization of 72

Prime factors of 72 are 2, 3. Prime factorization of 72 in exponential form is:

72 = 23 × 32

Prime Factorization of 80

Prime factors of 80 are 2, 5. Prime factorization of 80 in exponential form is:

80 = 24 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 72 and 80.

LCM(72,80) = 24 × 32 × 51
LCM(72,80) = 720

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