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What is the Least Common Multiple of 30683 and 30692?

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 30683 and 30692 is 941722636.

LCM(30683,30692) = 941722636

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Least Common Multiple of 30683 and 30692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30683 and 30692, than apply into the LCM equation.

GCF(30683,30692) = 1
LCM(30683,30692) = ( 30683 × 30692) / 1
LCM(30683,30692) = 941722636 / 1
LCM(30683,30692) = 941722636

Least Common Multiple (LCM) of 30683 and 30692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30683 and 30692. First we will calculate the prime factors of 30683 and 30692.

Prime Factorization of 30683

Prime factors of 30683 are 61, 503. Prime factorization of 30683 in exponential form is:

30683 = 611 × 5031

Prime Factorization of 30692

Prime factors of 30692 are 2, 7673. Prime factorization of 30692 in exponential form is:

30692 = 22 × 76731

Now multiplying the highest exponent prime factors to calculate the LCM of 30683 and 30692.

LCM(30683,30692) = 611 × 5031 × 22 × 76731
LCM(30683,30692) = 941722636