GCF and LCM Calculator Logo

What is the Least Common Multiple of 61427 and 61444?

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 61427 and 61444 is 3774320588.

LCM(61427,61444) = 3774320588

LCM Calculator and
and

Least Common Multiple of 61427 and 61444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61427 and 61444, than apply into the LCM equation.

GCF(61427,61444) = 1
LCM(61427,61444) = ( 61427 × 61444) / 1
LCM(61427,61444) = 3774320588 / 1
LCM(61427,61444) = 3774320588

Least Common Multiple (LCM) of 61427 and 61444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61427 and 61444. First we will calculate the prime factors of 61427 and 61444.

Prime Factorization of 61427

Prime factors of 61427 are 19, 53, 61. Prime factorization of 61427 in exponential form is:

61427 = 191 × 531 × 611

Prime Factorization of 61444

Prime factors of 61444 are 2, 15361. Prime factorization of 61444 in exponential form is:

61444 = 22 × 153611

Now multiplying the highest exponent prime factors to calculate the LCM of 61427 and 61444.

LCM(61427,61444) = 191 × 531 × 611 × 22 × 153611
LCM(61427,61444) = 3774320588