What is the Least Common Multiple of 81974 and 81990?

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 81974 and 81990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81974 and 81990, than apply into the LCM equation.

GCF(81974,81990) = 2
LCM(81974,81990) = ( 81974 × 81990) / 2
LCM(81974,81990) = 6721048260 / 2
LCM(81974,81990) = 3360524130

Least Common Multiple (LCM) of 81974 and 81990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81974 and 81990. First we will calculate the prime factors of 81974 and 81990.

Prime Factorization of 81974

Prime Factorization of 81990

Now multiplying the highest exponent prime factors to calculate the LCM of 81974 and 81990.

LCM(81974,81990) = 2¹ × 17¹ × 2411¹ × 3² × 5¹ × 911¹
LCM(81974,81990) = 3360524130