GCF and LCM Calculator Logo

What is the Least Common Multiple of 57220 and 57234?

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 57220 and 57234 is 1637464740.

LCM(57220,57234) = 1637464740

LCM Calculator and
and

Least Common Multiple of 57220 and 57234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57220 and 57234, than apply into the LCM equation.

GCF(57220,57234) = 2
LCM(57220,57234) = ( 57220 × 57234) / 2
LCM(57220,57234) = 3274929480 / 2
LCM(57220,57234) = 1637464740

Least Common Multiple (LCM) of 57220 and 57234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57220 and 57234. First we will calculate the prime factors of 57220 and 57234.

Prime Factorization of 57220

Prime factors of 57220 are 2, 5, 2861. Prime factorization of 57220 in exponential form is:

57220 = 22 × 51 × 28611

Prime Factorization of 57234

Prime factors of 57234 are 2, 3, 9539. Prime factorization of 57234 in exponential form is:

57234 = 21 × 31 × 95391

Now multiplying the highest exponent prime factors to calculate the LCM of 57220 and 57234.

LCM(57220,57234) = 22 × 51 × 28611 × 31 × 95391
LCM(57220,57234) = 1637464740