What is the Least Common Multiple of 67059 and 67074?

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 67059 and 67074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67059 and 67074, than apply into the LCM equation.

GCF(67059,67074) = 3
LCM(67059,67074) = ( 67059 × 67074) / 3
LCM(67059,67074) = 4497915366 / 3
LCM(67059,67074) = 1499305122

Least Common Multiple (LCM) of 67059 and 67074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67059 and 67074. First we will calculate the prime factors of 67059 and 67074.

Prime Factorization of 67059

Prime Factorization of 67074

Now multiplying the highest exponent prime factors to calculate the LCM of 67059 and 67074.

LCM(67059,67074) = 3² × 7451¹ × 2¹ × 7¹ × 1597¹
LCM(67059,67074) = 1499305122