What is the Least Common Multiple of 67617 and 67628?

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 67617 and 67628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67617 and 67628, than apply into the LCM equation.

GCF(67617,67628) = 11
LCM(67617,67628) = ( 67617 × 67628) / 11
LCM(67617,67628) = 4572802476 / 11
LCM(67617,67628) = 415709316

Least Common Multiple (LCM) of 67617 and 67628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67617 and 67628. First we will calculate the prime factors of 67617 and 67628.

Prime Factorization of 67617

Prime Factorization of 67628

Now multiplying the highest exponent prime factors to calculate the LCM of 67617 and 67628.

LCM(67617,67628) = 3² × 11¹ × 683¹ × 2² × 29¹ × 53¹
LCM(67617,67628) = 415709316