What is the Least Common Multiple of 27178 and 27190?

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 27178 and 27190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27178 and 27190, than apply into the LCM equation.

GCF(27178,27190) = 2
LCM(27178,27190) = ( 27178 × 27190) / 2
LCM(27178,27190) = 738969820 / 2
LCM(27178,27190) = 369484910

Least Common Multiple (LCM) of 27178 and 27190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27178 and 27190. First we will calculate the prime factors of 27178 and 27190.

Prime Factorization of 27178

Prime Factorization of 27190

Now multiplying the highest exponent prime factors to calculate the LCM of 27178 and 27190.

LCM(27178,27190) = 2¹ × 107¹ × 127¹ × 5¹ × 2719¹
LCM(27178,27190) = 369484910