What is the Least Common Multiple of 97030 and 97045?

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 97045 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 97045, than apply into the LCM equation.

GCF(97030,97045) = 5
LCM(97030,97045) = ( 97030 × 97045) / 5
LCM(97030,97045) = 9416276350 / 5
LCM(97030,97045) = 1883255270

Least Common Multiple (LCM) of 97030 and 97045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97030 and 97045. First we will calculate the prime factors of 97030 and 97045.

Prime Factorization of 97030

Prime Factorization of 97045

Now multiplying the highest exponent prime factors to calculate the LCM of 97030 and 97045.

LCM(97030,97045) = 2¹ × 5¹ × 31¹ × 313¹ × 13¹ × 1493¹
LCM(97030,97045) = 1883255270