What is the Least Common Multiple of 81930 and 81943?

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 81930 and 81943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81930 and 81943, than apply into the LCM equation.

GCF(81930,81943) = 1
LCM(81930,81943) = ( 81930 × 81943) / 1
LCM(81930,81943) = 6713589990 / 1
LCM(81930,81943) = 6713589990

Least Common Multiple (LCM) of 81930 and 81943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81930 and 81943. First we will calculate the prime factors of 81930 and 81943.

Prime Factorization of 81930

Prime Factorization of 81943

Now multiplying the highest exponent prime factors to calculate the LCM of 81930 and 81943.

LCM(81930,81943) = 2¹ × 3¹ × 5¹ × 2731¹ × 81943¹
LCM(81930,81943) = 6713589990