What is the Least Common Multiple of 68112 and 68120?

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 68112 and 68120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68112 and 68120, than apply into the LCM equation.

GCF(68112,68120) = 8
LCM(68112,68120) = ( 68112 × 68120) / 8
LCM(68112,68120) = 4639789440 / 8
LCM(68112,68120) = 579973680

Least Common Multiple (LCM) of 68112 and 68120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68112 and 68120. First we will calculate the prime factors of 68112 and 68120.

Prime Factorization of 68112

Prime Factorization of 68120

Now multiplying the highest exponent prime factors to calculate the LCM of 68112 and 68120.

LCM(68112,68120) = 2⁴ × 3² × 11¹ × 43¹ × 5¹ × 13¹ × 131¹
LCM(68112,68120) = 579973680