What is the Least Common Multiple of 67398 and 67416?

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 67398 and 67416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67398 and 67416, than apply into the LCM equation.

GCF(67398,67416) = 6
LCM(67398,67416) = ( 67398 × 67416) / 6
LCM(67398,67416) = 4543703568 / 6
LCM(67398,67416) = 757283928

Least Common Multiple (LCM) of 67398 and 67416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67398 and 67416. First we will calculate the prime factors of 67398 and 67416.

Prime Factorization of 67398

Prime Factorization of 67416

Now multiplying the highest exponent prime factors to calculate the LCM of 67398 and 67416.

LCM(67398,67416) = 2³ × 3¹ × 47¹ × 239¹ × 53²
LCM(67398,67416) = 757283928