What is the Least Common Multiple of 7461 and 7467?

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 7461 and 7467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7461 and 7467, than apply into the LCM equation.

GCF(7461,7467) = 3
LCM(7461,7467) = ( 7461 × 7467) / 3
LCM(7461,7467) = 55711287 / 3
LCM(7461,7467) = 18570429

Least Common Multiple (LCM) of 7461 and 7467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7461 and 7467. First we will calculate the prime factors of 7461 and 7467.

Prime Factorization of 7461

Prime Factorization of 7467

Now multiplying the highest exponent prime factors to calculate the LCM of 7461 and 7467.

LCM(7461,7467) = 3² × 829¹ × 19¹ × 131¹
LCM(7461,7467) = 18570429