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What is the Least Common Multiple of 30532 and 30541?

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 30532 and 30541 is 932477812.

LCM(30532,30541) = 932477812

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Least Common Multiple of 30532 and 30541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30532 and 30541, than apply into the LCM equation.

GCF(30532,30541) = 1
LCM(30532,30541) = ( 30532 × 30541) / 1
LCM(30532,30541) = 932477812 / 1
LCM(30532,30541) = 932477812

Least Common Multiple (LCM) of 30532 and 30541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30532 and 30541. First we will calculate the prime factors of 30532 and 30541.

Prime Factorization of 30532

Prime factors of 30532 are 2, 17, 449. Prime factorization of 30532 in exponential form is:

30532 = 22 × 171 × 4491

Prime Factorization of 30541

Prime factors of 30541 are 7, 4363. Prime factorization of 30541 in exponential form is:

30541 = 71 × 43631

Now multiplying the highest exponent prime factors to calculate the LCM of 30532 and 30541.

LCM(30532,30541) = 22 × 171 × 4491 × 71 × 43631
LCM(30532,30541) = 932477812