What is the Least Common Multiple of 82770 and 82776?

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 82770 and 82776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82770 and 82776, than apply into the LCM equation.

GCF(82770,82776) = 6
LCM(82770,82776) = ( 82770 × 82776) / 6
LCM(82770,82776) = 6851369520 / 6
LCM(82770,82776) = 1141894920

Least Common Multiple (LCM) of 82770 and 82776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82770 and 82776. First we will calculate the prime factors of 82770 and 82776.

Prime Factorization of 82770

Prime Factorization of 82776

Now multiplying the highest exponent prime factors to calculate the LCM of 82770 and 82776.

LCM(82770,82776) = 2³ × 3¹ × 5¹ × 31¹ × 89¹ × 3449¹
LCM(82770,82776) = 1141894920