What is the Least Common Multiple of 19145 and 19152?

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 19145 and 19152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19145 and 19152, than apply into the LCM equation.

GCF(19145,19152) = 7
LCM(19145,19152) = ( 19145 × 19152) / 7
LCM(19145,19152) = 366665040 / 7
LCM(19145,19152) = 52380720

Least Common Multiple (LCM) of 19145 and 19152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19145 and 19152. First we will calculate the prime factors of 19145 and 19152.

Prime Factorization of 19145

Prime Factorization of 19152

Now multiplying the highest exponent prime factors to calculate the LCM of 19145 and 19152.

LCM(19145,19152) = 5¹ × 7¹ × 547¹ × 2⁴ × 3² × 19¹
LCM(19145,19152) = 52380720