What is the Least Common Multiple of 7586 and 7603?

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 7586 and 7603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7586 and 7603, than apply into the LCM equation.

GCF(7586,7603) = 1
LCM(7586,7603) = ( 7586 × 7603) / 1
LCM(7586,7603) = 57676358 / 1
LCM(7586,7603) = 57676358

Least Common Multiple (LCM) of 7586 and 7603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7586 and 7603. First we will calculate the prime factors of 7586 and 7603.

Prime Factorization of 7586

Prime Factorization of 7603

Now multiplying the highest exponent prime factors to calculate the LCM of 7586 and 7603.

LCM(7586,7603) = 2¹ × 3793¹ × 7603¹
LCM(7586,7603) = 57676358