What is the Least Common Multiple of 84851 and 84870?

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 84851 and 84870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84851 and 84870, than apply into the LCM equation.

GCF(84851,84870) = 1
LCM(84851,84870) = ( 84851 × 84870) / 1
LCM(84851,84870) = 7201304370 / 1
LCM(84851,84870) = 7201304370

Least Common Multiple (LCM) of 84851 and 84870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84851 and 84870. First we will calculate the prime factors of 84851 and 84870.

Prime Factorization of 84851

Prime Factorization of 84870

Now multiplying the highest exponent prime factors to calculate the LCM of 84851 and 84870.

LCM(84851,84870) = 13¹ × 61¹ × 107¹ × 2¹ × 3² × 5¹ × 23¹ × 41¹
LCM(84851,84870) = 7201304370