What is the Least Common Multiple of 68145 and 68160?

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 68145 and 68160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68145 and 68160, than apply into the LCM equation.

GCF(68145,68160) = 15
LCM(68145,68160) = ( 68145 × 68160) / 15
LCM(68145,68160) = 4644763200 / 15
LCM(68145,68160) = 309650880

Least Common Multiple (LCM) of 68145 and 68160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68145 and 68160. First we will calculate the prime factors of 68145 and 68160.

Prime Factorization of 68145

Prime Factorization of 68160

Now multiplying the highest exponent prime factors to calculate the LCM of 68145 and 68160.

LCM(68145,68160) = 3¹ × 5¹ × 7¹ × 11¹ × 59¹ × 2⁶ × 71¹
LCM(68145,68160) = 309650880