What is the Least Common Multiple of 82960 and 82978?

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 82960 and 82978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82960 and 82978, than apply into the LCM equation.

GCF(82960,82978) = 2
LCM(82960,82978) = ( 82960 × 82978) / 2
LCM(82960,82978) = 6883854880 / 2
LCM(82960,82978) = 3441927440

Least Common Multiple (LCM) of 82960 and 82978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82960 and 82978. First we will calculate the prime factors of 82960 and 82978.

Prime Factorization of 82960

Prime Factorization of 82978

Now multiplying the highest exponent prime factors to calculate the LCM of 82960 and 82978.

LCM(82960,82978) = 2⁴ × 5¹ × 17¹ × 61¹ × 7¹ × 5927¹
LCM(82960,82978) = 3441927440