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What is the Least Common Multiple of 67220 and 67237?

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 67220 and 67237 is 4519671140.

LCM(67220,67237) = 4519671140

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Least Common Multiple of 67220 and 67237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67220 and 67237, than apply into the LCM equation.

GCF(67220,67237) = 1
LCM(67220,67237) = ( 67220 × 67237) / 1
LCM(67220,67237) = 4519671140 / 1
LCM(67220,67237) = 4519671140

Least Common Multiple (LCM) of 67220 and 67237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67220 and 67237. First we will calculate the prime factors of 67220 and 67237.

Prime Factorization of 67220

Prime factors of 67220 are 2, 5, 3361. Prime factorization of 67220 in exponential form is:

67220 = 22 × 51 × 33611

Prime Factorization of 67237

Prime factors of 67237 are 71, 947. Prime factorization of 67237 in exponential form is:

67237 = 711 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 67220 and 67237.

LCM(67220,67237) = 22 × 51 × 33611 × 711 × 9471
LCM(67220,67237) = 4519671140