What is the Least Common Multiple of 72142 and 72160?

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 72142 and 72160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72142 and 72160, than apply into the LCM equation.

GCF(72142,72160) = 2
LCM(72142,72160) = ( 72142 × 72160) / 2
LCM(72142,72160) = 5205766720 / 2
LCM(72142,72160) = 2602883360

Least Common Multiple (LCM) of 72142 and 72160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72142 and 72160. First we will calculate the prime factors of 72142 and 72160.

Prime Factorization of 72142

Prime Factorization of 72160

Now multiplying the highest exponent prime factors to calculate the LCM of 72142 and 72160.

LCM(72142,72160) = 2⁵ × 7¹ × 5153¹ × 5¹ × 11¹ × 41¹
LCM(72142,72160) = 2602883360