What is the Least Common Multiple of 19460 and 19467?

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 19460 and 19467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19460 and 19467, than apply into the LCM equation.

GCF(19460,19467) = 7
LCM(19460,19467) = ( 19460 × 19467) / 7
LCM(19460,19467) = 378827820 / 7
LCM(19460,19467) = 54118260

Least Common Multiple (LCM) of 19460 and 19467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19460 and 19467. First we will calculate the prime factors of 19460 and 19467.

Prime Factorization of 19460

Prime Factorization of 19467

Now multiplying the highest exponent prime factors to calculate the LCM of 19460 and 19467.

LCM(19460,19467) = 2² × 5¹ × 7¹ × 139¹ × 3³ × 103¹
LCM(19460,19467) = 54118260