What is the Least Common Multiple of 83142 and 83160?

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 83142 and 83160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83142 and 83160, than apply into the LCM equation.

GCF(83142,83160) = 18
LCM(83142,83160) = ( 83142 × 83160) / 18
LCM(83142,83160) = 6914088720 / 18
LCM(83142,83160) = 384116040

Least Common Multiple (LCM) of 83142 and 83160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83142 and 83160. First we will calculate the prime factors of 83142 and 83160.

Prime Factorization of 83142

Prime Factorization of 83160

Now multiplying the highest exponent prime factors to calculate the LCM of 83142 and 83160.

LCM(83142,83160) = 2³ × 3³ × 31¹ × 149¹ × 5¹ × 7¹ × 11¹
LCM(83142,83160) = 384116040