What is the Least Common Multiple of 67654 and 67660?

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 67654 and 67660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67654 and 67660, than apply into the LCM equation.

GCF(67654,67660) = 2
LCM(67654,67660) = ( 67654 × 67660) / 2
LCM(67654,67660) = 4577469640 / 2
LCM(67654,67660) = 2288734820

Least Common Multiple (LCM) of 67654 and 67660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67654 and 67660. First we will calculate the prime factors of 67654 and 67660.

Prime Factorization of 67654

Prime Factorization of 67660

Now multiplying the highest exponent prime factors to calculate the LCM of 67654 and 67660.

LCM(67654,67660) = 2² × 33827¹ × 5¹ × 17¹ × 199¹
LCM(67654,67660) = 2288734820