GCF and LCM Calculator Logo

What is the Least Common Multiple of 542 and 557?

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 542 and 557 is 301894.

LCM(542,557) = 301894

LCM Calculator and
and

Least Common Multiple of 542 and 557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 542 and 557, than apply into the LCM equation.

GCF(542,557) = 1
LCM(542,557) = ( 542 × 557) / 1
LCM(542,557) = 301894 / 1
LCM(542,557) = 301894

Least Common Multiple (LCM) of 542 and 557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 542 and 557. First we will calculate the prime factors of 542 and 557.

Prime Factorization of 542

Prime factors of 542 are 2, 271. Prime factorization of 542 in exponential form is:

542 = 21 × 2711

Prime Factorization of 557

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 542 and 557.

LCM(542,557) = 21 × 2711 × 5571
LCM(542,557) = 301894