What is the Least Common Multiple of 68052 and 68072?

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 68052 and 68072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68052 and 68072, than apply into the LCM equation.

GCF(68052,68072) = 4
LCM(68052,68072) = ( 68052 × 68072) / 4
LCM(68052,68072) = 4632435744 / 4
LCM(68052,68072) = 1158108936

Least Common Multiple (LCM) of 68052 and 68072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68052 and 68072. First we will calculate the prime factors of 68052 and 68072.

Prime Factorization of 68052

Prime Factorization of 68072

Now multiplying the highest exponent prime factors to calculate the LCM of 68052 and 68072.

LCM(68052,68072) = 2³ × 3¹ × 53¹ × 107¹ × 67¹ × 127¹
LCM(68052,68072) = 1158108936