What is the Least Common Multiple of 97045 and 97058?

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 97045 and 97058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97045 and 97058, than apply into the LCM equation.

GCF(97045,97058) = 13
LCM(97045,97058) = ( 97045 × 97058) / 13
LCM(97045,97058) = 9418993610 / 13
LCM(97045,97058) = 724537970

Least Common Multiple (LCM) of 97045 and 97058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97045 and 97058. First we will calculate the prime factors of 97045 and 97058.

Prime Factorization of 97045

Prime Factorization of 97058

Now multiplying the highest exponent prime factors to calculate the LCM of 97045 and 97058.

LCM(97045,97058) = 5¹ × 13¹ × 1493¹ × 2¹ × 3733¹
LCM(97045,97058) = 724537970