What is the Least Common Multiple of 68474 and 68481?

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 68474 and 68481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68474 and 68481, than apply into the LCM equation.

GCF(68474,68481) = 7
LCM(68474,68481) = ( 68474 × 68481) / 7
LCM(68474,68481) = 4689167994 / 7
LCM(68474,68481) = 669881142

Least Common Multiple (LCM) of 68474 and 68481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68474 and 68481. First we will calculate the prime factors of 68474 and 68481.

Prime Factorization of 68474

Prime Factorization of 68481

Now multiplying the highest exponent prime factors to calculate the LCM of 68474 and 68481.

LCM(68474,68481) = 2¹ × 7¹ × 67¹ × 73¹ × 3² × 1087¹
LCM(68474,68481) = 669881142