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What is the Least Common Multiple of 67620 and 67627?

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 67620 and 67627 is 653276820.

LCM(67620,67627) = 653276820

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Least Common Multiple of 67620 and 67627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67620 and 67627, than apply into the LCM equation.

GCF(67620,67627) = 7
LCM(67620,67627) = ( 67620 × 67627) / 7
LCM(67620,67627) = 4572937740 / 7
LCM(67620,67627) = 653276820

Least Common Multiple (LCM) of 67620 and 67627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67620 and 67627. First we will calculate the prime factors of 67620 and 67627.

Prime Factorization of 67620

Prime factors of 67620 are 2, 3, 5, 7, 23. Prime factorization of 67620 in exponential form is:

67620 = 22 × 31 × 51 × 72 × 231

Prime Factorization of 67627

Prime factors of 67627 are 7, 9661. Prime factorization of 67627 in exponential form is:

67627 = 71 × 96611

Now multiplying the highest exponent prime factors to calculate the LCM of 67620 and 67627.

LCM(67620,67627) = 22 × 31 × 51 × 72 × 231 × 96611
LCM(67620,67627) = 653276820