What is the Least Common Multiple of 67072 and 67076?

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 67072 and 67076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67072 and 67076, than apply into the LCM equation.

GCF(67072,67076) = 4
LCM(67072,67076) = ( 67072 × 67076) / 4
LCM(67072,67076) = 4498921472 / 4
LCM(67072,67076) = 1124730368

Least Common Multiple (LCM) of 67072 and 67076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67072 and 67076. First we will calculate the prime factors of 67072 and 67076.

Prime Factorization of 67072

Prime Factorization of 67076

Now multiplying the highest exponent prime factors to calculate the LCM of 67072 and 67076.

LCM(67072,67076) = 2⁹ × 131¹ × 41¹ × 409¹
LCM(67072,67076) = 1124730368