What is the Least Common Multiple of 92140 and 92156?

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 92140 and 92156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92140 and 92156, than apply into the LCM equation.

GCF(92140,92156) = 4
LCM(92140,92156) = ( 92140 × 92156) / 4
LCM(92140,92156) = 8491253840 / 4
LCM(92140,92156) = 2122813460

Least Common Multiple (LCM) of 92140 and 92156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92140 and 92156. First we will calculate the prime factors of 92140 and 92156.

Prime Factorization of 92140

Prime Factorization of 92156

Now multiplying the highest exponent prime factors to calculate the LCM of 92140 and 92156.

LCM(92140,92156) = 2² × 5¹ × 17¹ × 271¹ × 23039¹
LCM(92140,92156) = 2122813460