What is the Least Common Multiple of 81960 and 81974?

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 81960 and 81974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81960 and 81974, than apply into the LCM equation.

GCF(81960,81974) = 2
LCM(81960,81974) = ( 81960 × 81974) / 2
LCM(81960,81974) = 6718589040 / 2
LCM(81960,81974) = 3359294520

Least Common Multiple (LCM) of 81960 and 81974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81960 and 81974. First we will calculate the prime factors of 81960 and 81974.

Prime Factorization of 81960

Prime Factorization of 81974

Now multiplying the highest exponent prime factors to calculate the LCM of 81960 and 81974.

LCM(81960,81974) = 2³ × 3¹ × 5¹ × 683¹ × 17¹ × 2411¹
LCM(81960,81974) = 3359294520