What is the Least Common Multiple of 72998 and 73004?

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 72998 and 73004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72998 and 73004, than apply into the LCM equation.

GCF(72998,73004) = 2
LCM(72998,73004) = ( 72998 × 73004) / 2
LCM(72998,73004) = 5329145992 / 2
LCM(72998,73004) = 2664572996

Least Common Multiple (LCM) of 72998 and 73004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72998 and 73004. First we will calculate the prime factors of 72998 and 73004.

Prime Factorization of 72998

Prime Factorization of 73004

Now multiplying the highest exponent prime factors to calculate the LCM of 72998 and 73004.

LCM(72998,73004) = 2² × 17¹ × 19¹ × 113¹ × 18251¹
LCM(72998,73004) = 2664572996