What is the Least Common Multiple of 9252 and 9262?

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 9252 and 9262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9252 and 9262, than apply into the LCM equation.

GCF(9252,9262) = 2
LCM(9252,9262) = ( 9252 × 9262) / 2
LCM(9252,9262) = 85692024 / 2
LCM(9252,9262) = 42846012

Least Common Multiple (LCM) of 9252 and 9262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9252 and 9262. First we will calculate the prime factors of 9252 and 9262.

Prime Factorization of 9252

Prime Factorization of 9262

Now multiplying the highest exponent prime factors to calculate the LCM of 9252 and 9262.

LCM(9252,9262) = 2² × 3² × 257¹ × 11¹ × 421¹
LCM(9252,9262) = 42846012