GCF and LCM Calculator Logo

What is the Least Common Multiple of 61533 and 61547?

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 61533 and 61547 is 3787171551.

LCM(61533,61547) = 3787171551

LCM Calculator and
and

Least Common Multiple of 61533 and 61547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61533 and 61547, than apply into the LCM equation.

GCF(61533,61547) = 1
LCM(61533,61547) = ( 61533 × 61547) / 1
LCM(61533,61547) = 3787171551 / 1
LCM(61533,61547) = 3787171551

Least Common Multiple (LCM) of 61533 and 61547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61533 and 61547. First we will calculate the prime factors of 61533 and 61547.

Prime Factorization of 61533

Prime factors of 61533 are 3, 43, 53. Prime factorization of 61533 in exponential form is:

61533 = 33 × 431 × 531

Prime Factorization of 61547

Prime factors of 61547 are 61547. Prime factorization of 61547 in exponential form is:

61547 = 615471

Now multiplying the highest exponent prime factors to calculate the LCM of 61533 and 61547.

LCM(61533,61547) = 33 × 431 × 531 × 615471
LCM(61533,61547) = 3787171551