What is the Least Common Multiple of 97730 and 97746?

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 97730 and 97746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97730 and 97746, than apply into the LCM equation.

GCF(97730,97746) = 2
LCM(97730,97746) = ( 97730 × 97746) / 2
LCM(97730,97746) = 9552716580 / 2
LCM(97730,97746) = 4776358290

Least Common Multiple (LCM) of 97730 and 97746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97730 and 97746. First we will calculate the prime factors of 97730 and 97746.

Prime Factorization of 97730

Prime Factorization of 97746

Now multiplying the highest exponent prime factors to calculate the LCM of 97730 and 97746.

LCM(97730,97746) = 2¹ × 5¹ × 29¹ × 337¹ × 3¹ × 11¹ × 1481¹
LCM(97730,97746) = 4776358290