What is the Least Common Multiple of 83980 and 83984?

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 83980 and 83984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83980 and 83984, than apply into the LCM equation.

GCF(83980,83984) = 4
LCM(83980,83984) = ( 83980 × 83984) / 4
LCM(83980,83984) = 7052976320 / 4
LCM(83980,83984) = 1763244080

Least Common Multiple (LCM) of 83980 and 83984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83980 and 83984. First we will calculate the prime factors of 83980 and 83984.

Prime Factorization of 83980

Prime Factorization of 83984

Now multiplying the highest exponent prime factors to calculate the LCM of 83980 and 83984.

LCM(83980,83984) = 2⁴ × 5¹ × 13¹ × 17¹ × 19¹ × 29¹ × 181¹
LCM(83980,83984) = 1763244080