What is the Least Common Multiple of 81946 and 81960?

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 81946 and 81960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81946 and 81960, than apply into the LCM equation.

GCF(81946,81960) = 2
LCM(81946,81960) = ( 81946 × 81960) / 2
LCM(81946,81960) = 6716294160 / 2
LCM(81946,81960) = 3358147080

Least Common Multiple (LCM) of 81946 and 81960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81946 and 81960. First we will calculate the prime factors of 81946 and 81960.

Prime Factorization of 81946

Prime Factorization of 81960

Now multiplying the highest exponent prime factors to calculate the LCM of 81946 and 81960.

LCM(81946,81960) = 2³ × 40973¹ × 3¹ × 5¹ × 683¹
LCM(81946,81960) = 3358147080