What is the Least Common Multiple of 45596 and 45602?

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 45596 and 45602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45596 and 45602, than apply into the LCM equation.

GCF(45596,45602) = 2
LCM(45596,45602) = ( 45596 × 45602) / 2
LCM(45596,45602) = 2079268792 / 2
LCM(45596,45602) = 1039634396

Least Common Multiple (LCM) of 45596 and 45602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45596 and 45602. First we will calculate the prime factors of 45596 and 45602.

Prime Factorization of 45596

Prime Factorization of 45602

Now multiplying the highest exponent prime factors to calculate the LCM of 45596 and 45602.

LCM(45596,45602) = 2² × 11399¹ × 151²
LCM(45596,45602) = 1039634396