What is the Least Common Multiple of 82978 and 82992?

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 82978 and 82992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82978 and 82992, than apply into the LCM equation.

GCF(82978,82992) = 14
LCM(82978,82992) = ( 82978 × 82992) / 14
LCM(82978,82992) = 6886510176 / 14
LCM(82978,82992) = 491893584

Least Common Multiple (LCM) of 82978 and 82992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82978 and 82992. First we will calculate the prime factors of 82978 and 82992.

Prime Factorization of 82978

Prime Factorization of 82992

Now multiplying the highest exponent prime factors to calculate the LCM of 82978 and 82992.

LCM(82978,82992) = 2⁴ × 7¹ × 5927¹ × 3¹ × 13¹ × 19¹
LCM(82978,82992) = 491893584