What is the Least Common Multiple of 84534 and 84540?

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 84534 and 84540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84534 and 84540, than apply into the LCM equation.

GCF(84534,84540) = 6
LCM(84534,84540) = ( 84534 × 84540) / 6
LCM(84534,84540) = 7146504360 / 6
LCM(84534,84540) = 1191084060

Least Common Multiple (LCM) of 84534 and 84540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84534 and 84540. First we will calculate the prime factors of 84534 and 84540.

Prime Factorization of 84534

Prime Factorization of 84540

Now multiplying the highest exponent prime factors to calculate the LCM of 84534 and 84540.

LCM(84534,84540) = 2² × 3¹ × 73¹ × 193¹ × 5¹ × 1409¹
LCM(84534,84540) = 1191084060