What is the Least Common Multiple of 84924 and 84938?

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 84924 and 84938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84924 and 84938, than apply into the LCM equation.

GCF(84924,84938) = 14
LCM(84924,84938) = ( 84924 × 84938) / 14
LCM(84924,84938) = 7213274712 / 14
LCM(84924,84938) = 515233908

Least Common Multiple (LCM) of 84924 and 84938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84924 and 84938. First we will calculate the prime factors of 84924 and 84938.

Prime Factorization of 84924

Prime Factorization of 84938

Now multiplying the highest exponent prime factors to calculate the LCM of 84924 and 84938.

LCM(84924,84938) = 2² × 3² × 7¹ × 337¹ × 6067¹
LCM(84924,84938) = 515233908