What is the Least Common Multiple of 84980 and 84994?

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 84980 and 84994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84980 and 84994, than apply into the LCM equation.

GCF(84980,84994) = 14
LCM(84980,84994) = ( 84980 × 84994) / 14
LCM(84980,84994) = 7222790120 / 14
LCM(84980,84994) = 515913580

Least Common Multiple (LCM) of 84980 and 84994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84980 and 84994. First we will calculate the prime factors of 84980 and 84994.

Prime Factorization of 84980

Prime Factorization of 84994

Now multiplying the highest exponent prime factors to calculate the LCM of 84980 and 84994.

LCM(84980,84994) = 2² × 5¹ × 7¹ × 607¹ × 13¹ × 467¹
LCM(84980,84994) = 515913580