What is the Least Common Multiple of 67178 and 67190?

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 67178 and 67190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67178 and 67190, than apply into the LCM equation.

GCF(67178,67190) = 2
LCM(67178,67190) = ( 67178 × 67190) / 2
LCM(67178,67190) = 4513689820 / 2
LCM(67178,67190) = 2256844910

Least Common Multiple (LCM) of 67178 and 67190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67178 and 67190. First we will calculate the prime factors of 67178 and 67190.

Prime Factorization of 67178

Prime Factorization of 67190

Now multiplying the highest exponent prime factors to calculate the LCM of 67178 and 67190.

LCM(67178,67190) = 2¹ × 33589¹ × 5¹ × 6719¹
LCM(67178,67190) = 2256844910