What is the Least Common Multiple of 97030 and 97042?

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 97030 and 97042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97030 and 97042, than apply into the LCM equation.

GCF(97030,97042) = 2
LCM(97030,97042) = ( 97030 × 97042) / 2
LCM(97030,97042) = 9415985260 / 2
LCM(97030,97042) = 4707992630

Least Common Multiple (LCM) of 97030 and 97042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97030 and 97042. First we will calculate the prime factors of 97030 and 97042.

Prime Factorization of 97030

Prime Factorization of 97042

Now multiplying the highest exponent prime factors to calculate the LCM of 97030 and 97042.

LCM(97030,97042) = 2¹ × 5¹ × 31¹ × 313¹ × 11² × 401¹
LCM(97030,97042) = 4707992630