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What is the Least Common Multiple of 67722 and 67730?

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 67722 and 67730 is 2293405530.

LCM(67722,67730) = 2293405530

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Least Common Multiple of 67722 and 67730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67722 and 67730, than apply into the LCM equation.

GCF(67722,67730) = 2
LCM(67722,67730) = ( 67722 × 67730) / 2
LCM(67722,67730) = 4586811060 / 2
LCM(67722,67730) = 2293405530

Least Common Multiple (LCM) of 67722 and 67730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67722 and 67730. First we will calculate the prime factors of 67722 and 67730.

Prime Factorization of 67722

Prime factors of 67722 are 2, 3, 11287. Prime factorization of 67722 in exponential form is:

67722 = 21 × 31 × 112871

Prime Factorization of 67730

Prime factors of 67730 are 2, 5, 13, 521. Prime factorization of 67730 in exponential form is:

67730 = 21 × 51 × 131 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 67722 and 67730.

LCM(67722,67730) = 21 × 31 × 112871 × 51 × 131 × 5211
LCM(67722,67730) = 2293405530