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What is the Least Common Multiple of 30652 and 30669?

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 30652 and 30669 is 940066188.

LCM(30652,30669) = 940066188

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Least Common Multiple of 30652 and 30669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30652 and 30669, than apply into the LCM equation.

GCF(30652,30669) = 1
LCM(30652,30669) = ( 30652 × 30669) / 1
LCM(30652,30669) = 940066188 / 1
LCM(30652,30669) = 940066188

Least Common Multiple (LCM) of 30652 and 30669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30652 and 30669. First we will calculate the prime factors of 30652 and 30669.

Prime Factorization of 30652

Prime factors of 30652 are 2, 79, 97. Prime factorization of 30652 in exponential form is:

30652 = 22 × 791 × 971

Prime Factorization of 30669

Prime factors of 30669 are 3, 10223. Prime factorization of 30669 in exponential form is:

30669 = 31 × 102231

Now multiplying the highest exponent prime factors to calculate the LCM of 30652 and 30669.

LCM(30652,30669) = 22 × 791 × 971 × 31 × 102231
LCM(30652,30669) = 940066188