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What is the Least Common Multiple of 73480 and 73488?

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 73480 and 73488 is 674987280.

LCM(73480,73488) = 674987280

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Least Common Multiple of 73480 and 73488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73480 and 73488, than apply into the LCM equation.

GCF(73480,73488) = 8
LCM(73480,73488) = ( 73480 × 73488) / 8
LCM(73480,73488) = 5399898240 / 8
LCM(73480,73488) = 674987280

Least Common Multiple (LCM) of 73480 and 73488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73480 and 73488. First we will calculate the prime factors of 73480 and 73488.

Prime Factorization of 73480

Prime factors of 73480 are 2, 5, 11, 167. Prime factorization of 73480 in exponential form is:

73480 = 23 × 51 × 111 × 1671

Prime Factorization of 73488

Prime factors of 73488 are 2, 3, 1531. Prime factorization of 73488 in exponential form is:

73488 = 24 × 31 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 73480 and 73488.

LCM(73480,73488) = 24 × 51 × 111 × 1671 × 31 × 15311
LCM(73480,73488) = 674987280