What is the Least Common Multiple of 97414 and 97420?

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 97414 and 97420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97414 and 97420, than apply into the LCM equation.

GCF(97414,97420) = 2
LCM(97414,97420) = ( 97414 × 97420) / 2
LCM(97414,97420) = 9490071880 / 2
LCM(97414,97420) = 4745035940

Least Common Multiple (LCM) of 97414 and 97420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97414 and 97420. First we will calculate the prime factors of 97414 and 97420.

Prime Factorization of 97414

Prime Factorization of 97420

Now multiplying the highest exponent prime factors to calculate the LCM of 97414 and 97420.

LCM(97414,97420) = 2² × 53¹ × 919¹ × 5¹ × 4871¹
LCM(97414,97420) = 4745035940