What is the Least Common Multiple of 67674 and 67690?

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 67674 and 67690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67674 and 67690, than apply into the LCM equation.

GCF(67674,67690) = 2
LCM(67674,67690) = ( 67674 × 67690) / 2
LCM(67674,67690) = 4580853060 / 2
LCM(67674,67690) = 2290426530

Least Common Multiple (LCM) of 67674 and 67690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67674 and 67690. First we will calculate the prime factors of 67674 and 67690.

Prime Factorization of 67674

Prime Factorization of 67690

Now multiplying the highest exponent prime factors to calculate the LCM of 67674 and 67690.

LCM(67674,67690) = 2¹ × 3¹ × 11279¹ × 5¹ × 7¹ × 967¹
LCM(67674,67690) = 2290426530