What is the Least Common Multiple of 45248 and 45262?

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 45248 and 45262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45248 and 45262, than apply into the LCM equation.

GCF(45248,45262) = 14
LCM(45248,45262) = ( 45248 × 45262) / 14
LCM(45248,45262) = 2048014976 / 14
LCM(45248,45262) = 146286784

Least Common Multiple (LCM) of 45248 and 45262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45248 and 45262. First we will calculate the prime factors of 45248 and 45262.

Prime Factorization of 45248

Prime Factorization of 45262

Now multiplying the highest exponent prime factors to calculate the LCM of 45248 and 45262.

LCM(45248,45262) = 2⁶ × 7¹ × 101¹ × 53¹ × 61¹
LCM(45248,45262) = 146286784