What is the Least Common Multiple of 84540 and 84560?

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 84540 and 84560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84540 and 84560, than apply into the LCM equation.

GCF(84540,84560) = 20
LCM(84540,84560) = ( 84540 × 84560) / 20
LCM(84540,84560) = 7148702400 / 20
LCM(84540,84560) = 357435120

Least Common Multiple (LCM) of 84540 and 84560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84540 and 84560. First we will calculate the prime factors of 84540 and 84560.

Prime Factorization of 84540

Prime Factorization of 84560

Now multiplying the highest exponent prime factors to calculate the LCM of 84540 and 84560.

LCM(84540,84560) = 2⁴ × 3¹ × 5¹ × 1409¹ × 7¹ × 151¹
LCM(84540,84560) = 357435120