What is the Least Common Multiple of 19152 and 19160?

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 19152 and 19160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19152 and 19160, than apply into the LCM equation.

GCF(19152,19160) = 8
LCM(19152,19160) = ( 19152 × 19160) / 8
LCM(19152,19160) = 366952320 / 8
LCM(19152,19160) = 45869040

Least Common Multiple (LCM) of 19152 and 19160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19152 and 19160. First we will calculate the prime factors of 19152 and 19160.

Prime Factorization of 19152

Prime Factorization of 19160

Now multiplying the highest exponent prime factors to calculate the LCM of 19152 and 19160.

LCM(19152,19160) = 2⁴ × 3² × 7¹ × 19¹ × 5¹ × 479¹
LCM(19152,19160) = 45869040