What is the Least Common Multiple of 59082 and 59097?

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 59082 and 59097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59082 and 59097, than apply into the LCM equation.

GCF(59082,59097) = 3
LCM(59082,59097) = ( 59082 × 59097) / 3
LCM(59082,59097) = 3491568954 / 3
LCM(59082,59097) = 1163856318

Least Common Multiple (LCM) of 59082 and 59097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59082 and 59097. First we will calculate the prime factors of 59082 and 59097.

Prime Factorization of 59082

Prime Factorization of 59097

Now multiplying the highest exponent prime factors to calculate the LCM of 59082 and 59097.

LCM(59082,59097) = 2¹ × 3¹ × 43¹ × 229¹ × 19699¹
LCM(59082,59097) = 1163856318