What is the Least Common Multiple of 42603 and 42607?

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 42603 and 42607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42603 and 42607, than apply into the LCM equation.

GCF(42603,42607) = 1
LCM(42603,42607) = ( 42603 × 42607) / 1
LCM(42603,42607) = 1815186021 / 1
LCM(42603,42607) = 1815186021

Least Common Multiple (LCM) of 42603 and 42607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42603 and 42607. First we will calculate the prime factors of 42603 and 42607.

Prime Factorization of 42603

Prime Factorization of 42607

Now multiplying the highest exponent prime factors to calculate the LCM of 42603 and 42607.

LCM(42603,42607) = 3¹ × 11¹ × 1291¹ × 137¹ × 311¹
LCM(42603,42607) = 1815186021