What is the Least Common Multiple of 83076 and 83081?

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 83076 and 83081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83076 and 83081, than apply into the LCM equation.

GCF(83076,83081) = 1
LCM(83076,83081) = ( 83076 × 83081) / 1
LCM(83076,83081) = 6902037156 / 1
LCM(83076,83081) = 6902037156

Least Common Multiple (LCM) of 83076 and 83081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83076 and 83081. First we will calculate the prime factors of 83076 and 83081.

Prime Factorization of 83076

Prime Factorization of 83081

Now multiplying the highest exponent prime factors to calculate the LCM of 83076 and 83081.

LCM(83076,83081) = 2² × 3¹ × 7¹ × 23¹ × 43¹ × 251¹ × 331¹
LCM(83076,83081) = 6902037156