What is the Least Common Multiple of 83076 and 83082?

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 83082 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 83082, than apply into the LCM equation.

GCF(83076,83082) = 6
LCM(83076,83082) = ( 83076 × 83082) / 6
LCM(83076,83082) = 6902120232 / 6
LCM(83076,83082) = 1150353372

Least Common Multiple (LCM) of 83076 and 83082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83076 and 83082. First we will calculate the prime factors of 83076 and 83082.

Prime Factorization of 83076

Prime Factorization of 83082

Now multiplying the highest exponent prime factors to calculate the LCM of 83076 and 83082.

LCM(83076,83082) = 2² × 3¹ × 7¹ × 23¹ × 43¹ × 61¹ × 227¹
LCM(83076,83082) = 1150353372