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What is the Least Common Multiple of 67602 and 67612?

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 67602 and 67612 is 2285353212.

LCM(67602,67612) = 2285353212

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Least Common Multiple of 67602 and 67612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67602 and 67612, than apply into the LCM equation.

GCF(67602,67612) = 2
LCM(67602,67612) = ( 67602 × 67612) / 2
LCM(67602,67612) = 4570706424 / 2
LCM(67602,67612) = 2285353212

Least Common Multiple (LCM) of 67602 and 67612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67602 and 67612. First we will calculate the prime factors of 67602 and 67612.

Prime Factorization of 67602

Prime factors of 67602 are 2, 3, 19, 593. Prime factorization of 67602 in exponential form is:

67602 = 21 × 31 × 191 × 5931

Prime Factorization of 67612

Prime factors of 67612 are 2, 16903. Prime factorization of 67612 in exponential form is:

67612 = 22 × 169031

Now multiplying the highest exponent prime factors to calculate the LCM of 67602 and 67612.

LCM(67602,67612) = 22 × 31 × 191 × 5931 × 169031
LCM(67602,67612) = 2285353212