What is the Least Common Multiple of 81920 and 81930?

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 81920 and 81930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81920 and 81930, than apply into the LCM equation.

GCF(81920,81930) = 10
LCM(81920,81930) = ( 81920 × 81930) / 10
LCM(81920,81930) = 6711705600 / 10
LCM(81920,81930) = 671170560

Least Common Multiple (LCM) of 81920 and 81930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81920 and 81930. First we will calculate the prime factors of 81920 and 81930.

Prime Factorization of 81920

Prime Factorization of 81930

Now multiplying the highest exponent prime factors to calculate the LCM of 81920 and 81930.

LCM(81920,81930) = 2¹⁴ × 5¹ × 3¹ × 2731¹
LCM(81920,81930) = 671170560