What is the Least Common Multiple of 84942 and 84955?

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 84942 and 84955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84942 and 84955, than apply into the LCM equation.

GCF(84942,84955) = 13
LCM(84942,84955) = ( 84942 × 84955) / 13
LCM(84942,84955) = 7216247610 / 13
LCM(84942,84955) = 555095970

Least Common Multiple (LCM) of 84942 and 84955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84942 and 84955. First we will calculate the prime factors of 84942 and 84955.

Prime Factorization of 84942

Prime Factorization of 84955

Now multiplying the highest exponent prime factors to calculate the LCM of 84942 and 84955.

LCM(84942,84955) = 2¹ × 3³ × 11² × 13¹ × 5¹ × 1307¹
LCM(84942,84955) = 555095970