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What is the Least Common Multiple of 67606 and 67625?

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 67606 and 67625 is 4571855750.

LCM(67606,67625) = 4571855750

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Least Common Multiple of 67606 and 67625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67606 and 67625, than apply into the LCM equation.

GCF(67606,67625) = 1
LCM(67606,67625) = ( 67606 × 67625) / 1
LCM(67606,67625) = 4571855750 / 1
LCM(67606,67625) = 4571855750

Least Common Multiple (LCM) of 67606 and 67625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67606 and 67625. First we will calculate the prime factors of 67606 and 67625.

Prime Factorization of 67606

Prime factors of 67606 are 2, 7, 11, 439. Prime factorization of 67606 in exponential form is:

67606 = 21 × 71 × 111 × 4391

Prime Factorization of 67625

Prime factors of 67625 are 5, 541. Prime factorization of 67625 in exponential form is:

67625 = 53 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 67606 and 67625.

LCM(67606,67625) = 21 × 71 × 111 × 4391 × 53 × 5411
LCM(67606,67625) = 4571855750