What is the Least Common Multiple of 67413 and 67425?

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 67413 and 67425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67413 and 67425, than apply into the LCM equation.

GCF(67413,67425) = 3
LCM(67413,67425) = ( 67413 × 67425) / 3
LCM(67413,67425) = 4545321525 / 3
LCM(67413,67425) = 1515107175

Least Common Multiple (LCM) of 67413 and 67425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67413 and 67425. First we will calculate the prime factors of 67413 and 67425.

Prime Factorization of 67413

Prime Factorization of 67425

Now multiplying the highest exponent prime factors to calculate the LCM of 67413 and 67425.

LCM(67413,67425) = 3¹ × 23¹ × 977¹ × 5² × 29¹ × 31¹
LCM(67413,67425) = 1515107175