What is the Least Common Multiple of 67458 and 67478?

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 67458 and 67478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67458 and 67478, than apply into the LCM equation.

GCF(67458,67478) = 2
LCM(67458,67478) = ( 67458 × 67478) / 2
LCM(67458,67478) = 4551930924 / 2
LCM(67458,67478) = 2275965462

Least Common Multiple (LCM) of 67458 and 67478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67458 and 67478. First we will calculate the prime factors of 67458 and 67478.

Prime Factorization of 67458

Prime Factorization of 67478

Now multiplying the highest exponent prime factors to calculate the LCM of 67458 and 67478.

LCM(67458,67478) = 2¹ × 3¹ × 11243¹ × 33739¹
LCM(67458,67478) = 2275965462