What is the Least Common Multiple of 66996 and 67004?

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 66996 and 67004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66996 and 67004, than apply into the LCM equation.

GCF(66996,67004) = 4
LCM(66996,67004) = ( 66996 × 67004) / 4
LCM(66996,67004) = 4488999984 / 4
LCM(66996,67004) = 1122249996

Least Common Multiple (LCM) of 66996 and 67004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66996 and 67004. First we will calculate the prime factors of 66996 and 67004.

Prime Factorization of 66996

Prime Factorization of 67004

Now multiplying the highest exponent prime factors to calculate the LCM of 66996 and 67004.

LCM(66996,67004) = 2² × 3² × 1861¹ × 7¹ × 2393¹
LCM(66996,67004) = 1122249996