What is the Least Common Multiple of 67405 and 67415?

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 67405 and 67415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67405 and 67415, than apply into the LCM equation.

GCF(67405,67415) = 5
LCM(67405,67415) = ( 67405 × 67415) / 5
LCM(67405,67415) = 4544108075 / 5
LCM(67405,67415) = 908821615

Least Common Multiple (LCM) of 67405 and 67415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67405 and 67415. First we will calculate the prime factors of 67405 and 67415.

Prime Factorization of 67405

Prime Factorization of 67415

Now multiplying the highest exponent prime factors to calculate the LCM of 67405 and 67415.

LCM(67405,67415) = 5¹ × 13¹ × 17¹ × 61¹ × 97¹ × 139¹
LCM(67405,67415) = 908821615