What is the Least Common Multiple of 82972 and 82984?

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 82972 and 82984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82972 and 82984, than apply into the LCM equation.

GCF(82972,82984) = 4
LCM(82972,82984) = ( 82972 × 82984) / 4
LCM(82972,82984) = 6885348448 / 4
LCM(82972,82984) = 1721337112

Least Common Multiple (LCM) of 82972 and 82984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82972 and 82984. First we will calculate the prime factors of 82972 and 82984.

Prime Factorization of 82972

Prime Factorization of 82984

Now multiplying the highest exponent prime factors to calculate the LCM of 82972 and 82984.

LCM(82972,82984) = 2³ × 20743¹ × 11¹ × 23¹ × 41¹
LCM(82972,82984) = 1721337112