What is the Least Common Multiple of 91854 and 91870?

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 91854 and 91870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91854 and 91870, than apply into the LCM equation.

GCF(91854,91870) = 2
LCM(91854,91870) = ( 91854 × 91870) / 2
LCM(91854,91870) = 8438626980 / 2
LCM(91854,91870) = 4219313490

Least Common Multiple (LCM) of 91854 and 91870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91854 and 91870. First we will calculate the prime factors of 91854 and 91870.

Prime Factorization of 91854

Prime Factorization of 91870

Now multiplying the highest exponent prime factors to calculate the LCM of 91854 and 91870.

LCM(91854,91870) = 2¹ × 3⁸ × 7¹ × 5¹ × 9187¹
LCM(91854,91870) = 4219313490