What is the Least Common Multiple of 84357 and 84370?

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 84357 and 84370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84357 and 84370, than apply into the LCM equation.

GCF(84357,84370) = 13
LCM(84357,84370) = ( 84357 × 84370) / 13
LCM(84357,84370) = 7117200090 / 13
LCM(84357,84370) = 547476930

Least Common Multiple (LCM) of 84357 and 84370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84357 and 84370. First we will calculate the prime factors of 84357 and 84370.

Prime Factorization of 84357

Prime Factorization of 84370

Now multiplying the highest exponent prime factors to calculate the LCM of 84357 and 84370.

LCM(84357,84370) = 3² × 7¹ × 13¹ × 103¹ × 2¹ × 5¹ × 11¹ × 59¹
LCM(84357,84370) = 547476930