What is the Least Common Multiple of 66984 and 67002?

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 66984 and 67002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66984 and 67002, than apply into the LCM equation.

GCF(66984,67002) = 6
LCM(66984,67002) = ( 66984 × 67002) / 6
LCM(66984,67002) = 4488061968 / 6
LCM(66984,67002) = 748010328

Least Common Multiple (LCM) of 66984 and 67002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66984 and 67002. First we will calculate the prime factors of 66984 and 67002.

Prime Factorization of 66984

Prime Factorization of 67002

Now multiplying the highest exponent prime factors to calculate the LCM of 66984 and 67002.

LCM(66984,67002) = 2³ × 3¹ × 2791¹ × 13¹ × 859¹
LCM(66984,67002) = 748010328