What is the Least Common Multiple of 32984 and 32998?

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 32984 and 32998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32984 and 32998, than apply into the LCM equation.

GCF(32984,32998) = 14
LCM(32984,32998) = ( 32984 × 32998) / 14
LCM(32984,32998) = 1088406032 / 14
LCM(32984,32998) = 77743288

Least Common Multiple (LCM) of 32984 and 32998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32984 and 32998. First we will calculate the prime factors of 32984 and 32998.

Prime Factorization of 32984

Prime Factorization of 32998

Now multiplying the highest exponent prime factors to calculate the LCM of 32984 and 32998.

LCM(32984,32998) = 2³ × 7¹ × 19¹ × 31¹ × 2357¹
LCM(32984,32998) = 77743288