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What is the Least Common Multiple of 67472 and 67491?

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 67472 and 67491 is 4553752752.

LCM(67472,67491) = 4553752752

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Least Common Multiple of 67472 and 67491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67472 and 67491, than apply into the LCM equation.

GCF(67472,67491) = 1
LCM(67472,67491) = ( 67472 × 67491) / 1
LCM(67472,67491) = 4553752752 / 1
LCM(67472,67491) = 4553752752

Least Common Multiple (LCM) of 67472 and 67491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67472 and 67491. First we will calculate the prime factors of 67472 and 67491.

Prime Factorization of 67472

Prime factors of 67472 are 2, 4217. Prime factorization of 67472 in exponential form is:

67472 = 24 × 42171

Prime Factorization of 67491

Prime factors of 67491 are 3, 7499. Prime factorization of 67491 in exponential form is:

67491 = 32 × 74991

Now multiplying the highest exponent prime factors to calculate the LCM of 67472 and 67491.

LCM(67472,67491) = 24 × 42171 × 32 × 74991
LCM(67472,67491) = 4553752752