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What is the Least Common Multiple of 30692 and 30696?

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 30692 and 30696 is 235530408.

LCM(30692,30696) = 235530408

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Least Common Multiple of 30692 and 30696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30692 and 30696, than apply into the LCM equation.

GCF(30692,30696) = 4
LCM(30692,30696) = ( 30692 × 30696) / 4
LCM(30692,30696) = 942121632 / 4
LCM(30692,30696) = 235530408

Least Common Multiple (LCM) of 30692 and 30696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30692 and 30696. First we will calculate the prime factors of 30692 and 30696.

Prime Factorization of 30692

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

30692 = 22 × 76731

Prime Factorization of 30696

Prime factors of 30696 are 2, 3, 1279. Prime factorization of 30696 in exponential form is:

30696 = 23 × 31 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 30692 and 30696.

LCM(30692,30696) = 23 × 76731 × 31 × 12791
LCM(30692,30696) = 235530408