What is the Least Common Multiple of 72592 and 72602?

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 72592 and 72602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72592 and 72602, than apply into the LCM equation.

GCF(72592,72602) = 2
LCM(72592,72602) = ( 72592 × 72602) / 2
LCM(72592,72602) = 5270324384 / 2
LCM(72592,72602) = 2635162192

Least Common Multiple (LCM) of 72592 and 72602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72592 and 72602. First we will calculate the prime factors of 72592 and 72602.

Prime Factorization of 72592

Prime Factorization of 72602

Now multiplying the highest exponent prime factors to calculate the LCM of 72592 and 72602.

LCM(72592,72602) = 2⁴ × 13¹ × 349¹ × 31¹ × 1171¹
LCM(72592,72602) = 2635162192