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What is the Least Common Multiple of 30537 and 30552?

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 30537 and 30552 is 310988808.

LCM(30537,30552) = 310988808

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Least Common Multiple of 30537 and 30552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30537 and 30552, than apply into the LCM equation.

GCF(30537,30552) = 3
LCM(30537,30552) = ( 30537 × 30552) / 3
LCM(30537,30552) = 932966424 / 3
LCM(30537,30552) = 310988808

Least Common Multiple (LCM) of 30537 and 30552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30537 and 30552. First we will calculate the prime factors of 30537 and 30552.

Prime Factorization of 30537

Prime factors of 30537 are 3, 13, 29. Prime factorization of 30537 in exponential form is:

30537 = 34 × 131 × 291

Prime Factorization of 30552

Prime factors of 30552 are 2, 3, 19, 67. Prime factorization of 30552 in exponential form is:

30552 = 23 × 31 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 30537 and 30552.

LCM(30537,30552) = 34 × 131 × 291 × 23 × 191 × 671
LCM(30537,30552) = 310988808