What is the Least Common Multiple of 84374 and 84380?

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 84374 and 84380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84374 and 84380, than apply into the LCM equation.

GCF(84374,84380) = 2
LCM(84374,84380) = ( 84374 × 84380) / 2
LCM(84374,84380) = 7119478120 / 2
LCM(84374,84380) = 3559739060

Least Common Multiple (LCM) of 84374 and 84380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84374 and 84380. First we will calculate the prime factors of 84374 and 84380.

Prime Factorization of 84374

Prime Factorization of 84380

Now multiplying the highest exponent prime factors to calculate the LCM of 84374 and 84380.

LCM(84374,84380) = 2² × 42187¹ × 5¹ × 4219¹
LCM(84374,84380) = 3559739060