GCF and LCM Calculator Logo

What is the Least Common Multiple of 30522 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 30522 and 30541 is 932172402.

LCM(30522,30541) = 932172402

LCM Calculator and
and

Least Common Multiple of 30522 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 30522 and 30541, than apply into the LCM equation.

GCF(30522,30541) = 1
LCM(30522,30541) = ( 30522 × 30541) / 1
LCM(30522,30541) = 932172402 / 1
LCM(30522,30541) = 932172402

Least Common Multiple (LCM) of 30522 and 30541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30522 and 30541. First we will calculate the prime factors of 30522 and 30541.

Prime Factorization of 30522

Prime factors of 30522 are 2, 3, 5087. Prime factorization of 30522 in exponential form is:

30522 = 21 × 31 × 50871

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 30522 and 30541.

LCM(30522,30541) = 21 × 31 × 50871 × 71 × 43631
LCM(30522,30541) = 932172402