What is the Least Common Multiple of 97012 and 97030?

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 97012 and 97030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97012 and 97030, than apply into the LCM equation.

GCF(97012,97030) = 2
LCM(97012,97030) = ( 97012 × 97030) / 2
LCM(97012,97030) = 9413074360 / 2
LCM(97012,97030) = 4706537180

Least Common Multiple (LCM) of 97012 and 97030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97012 and 97030. First we will calculate the prime factors of 97012 and 97030.

Prime Factorization of 97012

Prime Factorization of 97030

Now multiplying the highest exponent prime factors to calculate the LCM of 97012 and 97030.

LCM(97012,97030) = 2² × 79¹ × 307¹ × 5¹ × 31¹ × 313¹
LCM(97012,97030) = 4706537180