What is the Least Common Multiple of 68140 and 68156?

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 68140 and 68156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68140 and 68156, than apply into the LCM equation.

GCF(68140,68156) = 4
LCM(68140,68156) = ( 68140 × 68156) / 4
LCM(68140,68156) = 4644149840 / 4
LCM(68140,68156) = 1161037460

Least Common Multiple (LCM) of 68140 and 68156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68140 and 68156. First we will calculate the prime factors of 68140 and 68156.

Prime Factorization of 68140

Prime Factorization of 68156

Now multiplying the highest exponent prime factors to calculate the LCM of 68140 and 68156.

LCM(68140,68156) = 2² × 5¹ × 3407¹ × 11¹ × 1549¹
LCM(68140,68156) = 1161037460