What is the Least Common Multiple of 81951 and 81966?

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 81951 and 81966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81951 and 81966, than apply into the LCM equation.

GCF(81951,81966) = 3
LCM(81951,81966) = ( 81951 × 81966) / 3
LCM(81951,81966) = 6717195666 / 3
LCM(81951,81966) = 2239065222

Least Common Multiple (LCM) of 81951 and 81966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81951 and 81966. First we will calculate the prime factors of 81951 and 81966.

Prime Factorization of 81951

Prime Factorization of 81966

Now multiplying the highest exponent prime factors to calculate the LCM of 81951 and 81966.

LCM(81951,81966) = 3¹ × 59¹ × 463¹ × 2¹ × 19¹ × 719¹
LCM(81951,81966) = 2239065222