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What is the Least Common Multiple of 67603 and 67608?

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 67603 and 67608 is 4570503624.

LCM(67603,67608) = 4570503624

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Least Common Multiple of 67603 and 67608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67603 and 67608, than apply into the LCM equation.

GCF(67603,67608) = 1
LCM(67603,67608) = ( 67603 × 67608) / 1
LCM(67603,67608) = 4570503624 / 1
LCM(67603,67608) = 4570503624

Least Common Multiple (LCM) of 67603 and 67608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67603 and 67608. First we will calculate the prime factors of 67603 and 67608.

Prime Factorization of 67603

Prime factors of 67603 are 67, 1009. Prime factorization of 67603 in exponential form is:

67603 = 671 × 10091

Prime Factorization of 67608

Prime factors of 67608 are 2, 3, 313. Prime factorization of 67608 in exponential form is:

67608 = 23 × 33 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 67603 and 67608.

LCM(67603,67608) = 671 × 10091 × 23 × 33 × 3131
LCM(67603,67608) = 4570503624