What is the Least Common Multiple of 83114 and 83118?

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 83114 and 83118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83114 and 83118, than apply into the LCM equation.

GCF(83114,83118) = 2
LCM(83114,83118) = ( 83114 × 83118) / 2
LCM(83114,83118) = 6908269452 / 2
LCM(83114,83118) = 3454134726

Least Common Multiple (LCM) of 83114 and 83118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83114 and 83118. First we will calculate the prime factors of 83114 and 83118.

Prime Factorization of 83114

Prime Factorization of 83118

Now multiplying the highest exponent prime factors to calculate the LCM of 83114 and 83118.

LCM(83114,83118) = 2¹ × 29¹ × 1433¹ × 3¹ × 7¹ × 1979¹
LCM(83114,83118) = 3454134726