What is the Least Common Multiple of 56252 and 56262?

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 of 56252 and 56262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56252 and 56262, than apply into the LCM equation.

GCF(56252,56262) = 2
LCM(56252,56262) = ( 56252 × 56262) / 2
LCM(56252,56262) = 3164850024 / 2
LCM(56252,56262) = 1582425012

Least Common Multiple (LCM) of 56252 and 56262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56252 and 56262. First we will calculate the prime factors of 56252 and 56262.

Prime Factorization of 56252

Prime Factorization of 56262

Now multiplying the highest exponent prime factors to calculate the LCM of 56252 and 56262.

LCM(56252,56262) = 2² × 7³ × 41¹ × 3¹ × 9377¹
LCM(56252,56262) = 1582425012