GCF and LCM Calculator Logo

What is the Least Common Multiple of 56242 and 56252?

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 56242 and 56252 is 1581862492.

LCM(56242,56252) = 1581862492

LCM Calculator and
and

Least Common Multiple of 56242 and 56252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56242 and 56252, than apply into the LCM equation.

GCF(56242,56252) = 2
LCM(56242,56252) = ( 56242 × 56252) / 2
LCM(56242,56252) = 3163724984 / 2
LCM(56242,56252) = 1581862492

Least Common Multiple (LCM) of 56242 and 56252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56242 and 56252. First we will calculate the prime factors of 56242 and 56252.

Prime Factorization of 56242

Prime factors of 56242 are 2, 61, 461. Prime factorization of 56242 in exponential form is:

56242 = 21 × 611 × 4611

Prime Factorization of 56252

Prime factors of 56252 are 2, 7, 41. Prime factorization of 56252 in exponential form is:

56252 = 22 × 73 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 56242 and 56252.

LCM(56242,56252) = 22 × 611 × 4611 × 73 × 411
LCM(56242,56252) = 1581862492