What is the Least Common Multiple of 19460 and 19469?

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 19469 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 19469, than apply into the LCM equation.

GCF(19460,19469) = 1
LCM(19460,19469) = ( 19460 × 19469) / 1
LCM(19460,19469) = 378866740 / 1
LCM(19460,19469) = 378866740

Least Common Multiple (LCM) of 19460 and 19469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19460 and 19469. First we will calculate the prime factors of 19460 and 19469.

Prime Factorization of 19460

Prime Factorization of 19469

Now multiplying the highest exponent prime factors to calculate the LCM of 19460 and 19469.

LCM(19460,19469) = 2² × 5¹ × 7¹ × 139¹ × 19469¹
LCM(19460,19469) = 378866740